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1252413000040 = 2351812415031427
BaseRepresentation
bin10010001110011001101…
…000011100100101101000
311102201200211000101101011
4102032121220130211220
5131004420212000130
62355203421033304
7156324650565226
oct22163150344550
94381624011334
101252413000040
11443166540854
121828866b5834
13911432455b7
144488d4ddb16
15228a132352a
hex12399a1c968

1252413000040 has 128 divisors (see below), whose sum is σ = 2852909579520. Its totient is φ = 494796902400.

The previous prime is 1252412999989. The next prime is 1252413000043. The reversal of 1252413000040 is 400003142521.

It is a junction number, because it is equal to n+sod(n) for n = 1252412999975 and 1252413000020.

It is not an unprimeable number, because it can be changed into a prime (1252413000043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877653807 + ... + 877655233.

It is an arithmetic number, because the mean of its divisors is an integer number (22288356090).

Almost surely, 21252413000040 is an apocalyptic number.

1252413000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252413000040 is an abundant number, since it is smaller than the sum of its proper divisors (1600496579480).

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

1252413000040 is a wasteful number, since it uses less digits than its factorization.

1252413000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1252413000040 its reverse (400003142521), we get a palindrome (1652416142561).

The spelling of 1252413000040 in words is "one trillion, two hundred fifty-two billion, four hundred thirteen million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 181 241 362 482 503 724 905 964 1006 1205 1427 1448 1810 1928 2012 2410 2515 2854 3620 4024 4820 5030 5708 7135 7240 9640 10060 11416 14270 20120 28540 43621 57080 87242 91043 121223 174484 182086 218105 242446 258287 343907 348968 364172 436210 455215 484892 516574 606115 687814 717781 728344 872420 910430 969784 1033148 1212230 1291435 1375628 1435562 1719535 1744840 1820860 2066296 2424460 2582870 2751256 2871124 3439070 3588905 3641720 4848920 5165740 5742248 6878140 7177810 10331480 13756280 14355620 21941363 28711240 43882726 62247167 87765452 109706815 124494334 129918361 172985221 175530904 219413630 248988668 259836722 311235835 345970442 438827260 497977336 519673444 622471670 649591805 691940884 864926105 877654520 1039346888 1244943340 1299183610 1383881768 1729852210 2489886680 2598367220 3459704420 5196734440 6919408840 31310325001 62620650002 125241300004 156551625005 250482600008 313103250010 626206500020 1252413000040