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1014422040 = 233256174567
BaseRepresentation
bin111100011101101…
…101101000011000
32121200210222102200
4330131231220120
54034143001130
6244354330200
734065305442
oct7435555030
92550728380
101014422040
11480684325
12243889960
13132219738
1498a23492
155e0ce760
hex3c76da18

1014422040 has 96 divisors (see below), whose sum is σ = 3302938080. Its totient is φ = 270014976.

The previous prime is 1014422029. The next prime is 1014422053. The reversal of 1014422040 is 402244101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219837 + ... + 224403.

It is an arithmetic number, because the mean of its divisors is an integer number (34405605).

Almost surely, 21014422040 is an apocalyptic number.

1014422040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651469040).

1014422040 is an abundant number, since it is smaller than the sum of its proper divisors (2288516040).

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

1014422040 is a wasteful number, since it uses less digits than its factorization.

1014422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1014422040 is about 31849.9927786491. The cubic root of 1014422040 is about 1004.7844194906.

Adding to 1014422040 its reverse (402244101), we get a palindrome (1416666141).

The spelling of 1014422040 in words is "one billion, fourteen million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 617 1234 1851 2468 3085 3702 4567 4936 5553 6170 7404 9134 9255 11106 12340 13701 14808 18268 18510 22212 22835 24680 27402 27765 36536 37020 41103 44424 45670 54804 55530 68505 74040 82206 91340 109608 111060 137010 164412 182680 205515 222120 274020 328824 411030 548040 822060 1644120 2817839 5635678 8453517 11271356 14089195 16907034 22542712 25360551 28178390 33814068 42267585 50721102 56356780 67628136 84535170 101442204 112713560 126802755 169070340 202884408 253605510 338140680 507211020 1014422040