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5401345440 = 253522350461
BaseRepresentation
bin1010000011111000…
…11111110110100000
3111221102120210000010
411001330133312200
542030221023230
62251545324520
7250564451541
oct50174376640
914842523003
105401345440
112321a11857
121068a96740
136810516ba
143934d64c8
152192d39b0
hex141f1fda0

5401345440 has 96 divisors (see below), whose sum is σ = 17090873856. Its totient is φ = 1433871360.

The previous prime is 5401345427. The next prime is 5401345457. The reversal of 5401345440 is 445431045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5401345398 and 5401345407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81810 + ... + 132270.

It is an arithmetic number, because the mean of its divisors is an integer number (178029936).

Almost surely, 25401345440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5401345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545436928).

5401345440 is an abundant number, since it is smaller than the sum of its proper divisors (11689528416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5401345440 is a wasteful number, since it uses less digits than its factorization.

5401345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50702 (or 50694 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5401345440 is about 73493.8462730044. The cubic root of 5401345440 is about 1754.5563378810.

Adding to 5401345440 its reverse (445431045), we get a palindrome (5846776485).

The spelling of 5401345440 in words is "five billion, four hundred one million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 17840 21408 26760 35680 50461 53520 100922 107040 151383 201844 252305 302766 403688 504610 605532 756915 807376 1009220 1211064 1513830 1614752 2018440 2422128 3027660 4036880 4844256 6055320 8073760 11252803 12110640 22505606 24221280 33758409 45011212 56264015 67516818 90022424 112528030 135033636 168792045 180044848 225056060 270067272 337584090 360089696 450112120 540134544 675168180 900224240 1080269088 1350336360 1800448480 2700672720 5401345440