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5142540144 = 243718184559
BaseRepresentation
bin1001100101000010…
…01110111101110000
3111021101121002212210
410302201032331300
541012442241034
62210142252120
7241302604260
oct46241167560
914241532783
105142540144
1121a9914585
12bb6287040
1363c548181
1436ada77a0
152017108e9
hex13284ef70

5142540144 has 80 divisors (see below), whose sum is σ = 15266800640. Its totient is φ = 1461162240.

The previous prime is 5142540119. The next prime is 5142540149. The reversal of 5142540144 is 4410452415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142540149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18537 + ... + 103095.

It is an arithmetic number, because the mean of its divisors is an integer number (190835008).

Almost surely, 25142540144 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 5142540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633400320).

5142540144 is an abundant number, since it is smaller than the sum of its proper divisors (10124260496).

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

5142540144 is a wasteful number, since it uses less digits than its factorization.

5142540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84758 (or 84752 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 5142540144 is about 71711.5063570694. The cubic root of 5142540144 is about 1726.0732822518.

Adding to 5142540144 its reverse (4410452415), we get a palindrome (9552992559).

The spelling of 5142540144 in words is "five billion, one hundred forty-two million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 543 724 1086 1267 1448 2172 2534 2896 3801 4344 5068 7602 8688 10136 15204 20272 30408 60816 84559 169118 253677 338236 507354 591913 676472 1014708 1183826 1352944 1775739 2029416 2367652 3551478 4058832 4735304 7102956 9470608 14205912 15305179 28411824 30610358 45915537 61220716 91831074 107136253 122441432 183662148 214272506 244882864 321408759 367324296 428545012 642817518 734648592 857090024 1285635036 1714180048 2571270072 5142540144