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10442040525 = 3252747141061
BaseRepresentation
bin10011011100110010…
…01110010011001101
3222221201112121201200
421232121032103031
5132341130244100
64444053100113
7516522610560
oct115631162315
928851477650
1010442040525
114479294664
122035027639
13ca545b307
14710b4c4d7
15411ac7e00
hex26e64e4cd

10442040525 has 72 divisors (see below), whose sum is σ = 21829626624. Its totient is φ = 4671907200.

The previous prime is 10442040437. The next prime is 10442040551. The reversal of 10442040525 is 52504024401.

It is not a de Polignac number, because 10442040525 - 213 = 10442032333 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3495 + ... + 144555.

Almost surely, 210442040525 is an apocalyptic number.

10442040525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10442040525 is an abundant number, since it is smaller than the sum of its proper divisors (11387586099).

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

10442040525 is a wasteful number, since it uses less digits than its factorization.

10442040525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141131 (or 141123 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 10442040525 its reverse (52504024401), we get a palindrome (62946064926).

The spelling of 10442040525 in words is "ten billion, four hundred forty-two million, forty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 63 75 105 141 175 225 235 315 329 423 525 705 987 1175 1575 1645 2115 2961 3525 4935 8225 10575 14805 24675 74025 141061 423183 705305 987427 1269549 2115915 2962281 3526525 4937135 6347745 6629867 8886843 10579575 14811405 19889601 24685675 31738725 33149335 44434215 46409069 59668803 74057025 99448005 139227207 165746675 222171075 232045345 298344015 417681621 497240025 696136035 1160226725 1491720075 2088408105 3480680175 10442040525