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15040735128 = 233467346433
BaseRepresentation
bin11100000000111111…
…10110011110011000
31102211012210111210000
432000133312132120
5221300412011003
610524251053000
71041503065506
oct160037663630
942735714700
1015040735128
116419114a11
122ab9141160
13155910c393
14a297c9676
155d06ae1a3
hex3807f6798

15040735128 has 80 divisors (see below), whose sum is σ = 42756884280. Its totient is φ = 4938734592.

The previous prime is 15040735123. The next prime is 15040735147. The reversal of 15040735128 is 82153704051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15040735092 and 15040735101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15040735121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129801 + ... + 216632.

Almost surely, 215040735128 is an apocalyptic number.

15040735128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15040735128 is an abundant number, since it is smaller than the sum of its proper divisors (27716149152).

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

15040735128 is a wasteful number, since it uses less digits than its factorization.

15040735128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346518 (or 346505 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 15040735128 in words is "fifteen billion, forty million, seven hundred thirty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 4824 5427 7236 10854 14472 21708 43416 346433 692866 1039299 1385732 2078598 2771464 3117897 4157196 6235794 8314392 9353691 12471588 18707382 23211011 24943176 28061073 37414764 46422022 56122146 69633033 74829528 92844044 112244292 139266066 185688088 208899099 224488584 278532132 417798198 557064264 626697297 835596396 1253394594 1671192792 1880091891 2506789188 3760183782 5013578376 7520367564 15040735128