Search a number
-
+
2141524055456 = 251575416171277
BaseRepresentation
bin11111001010011100110…
…001111101010110100000
321120201122111022202202122
4133022130301331112200
5240041320124233311
64315445204403412
7310501651061522
oct37123461752640
97521574282678
102141524055456
11756240555395
122a70600a6568
13126c38abb916
1475916683a12
153aa8c8eb0db
hex1f29cc7d5a0

2141524055456 has 96 divisors (see below), whose sum is σ = 4261046286672. Its totient is φ = 1059423805440.

The previous prime is 2141524055449. The next prime is 2141524055477. The reversal of 2141524055456 is 6545504251412.

It can be written as a sum of positive squares in 8 ways, for example, as 324193584400 + 1817330471056 = 569380^2 + 1348084^2 .

It is a super-2 number, since 2×21415240554562 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676995490 + ... + 1676996766.

Almost surely, 22141524055456 is an apocalyptic number.

It is an amenable number.

2141524055456 is a deficient number, since it is larger than the sum of its proper divisors (2119522231216).

2141524055456 is a wasteful number, since it uses less digits than its factorization.

2141524055456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 44.

The spelling of 2141524055456 in words is "two trillion, one hundred forty-one billion, five hundred twenty-four million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 157 314 541 617 628 1082 1234 1256 1277 2164 2468 2512 2554 4328 4936 5024 5108 8656 9872 10216 17312 19744 20432 40864 84937 96869 169874 193738 200489 333797 339748 387476 400978 667594 679496 690857 774952 787909 801956 1335188 1358992 1381714 1549904 1575818 1603912 2670376 2717984 2763428 3099808 3151636 3207824 5340752 5526856 6303272 6415648 10681504 11053712 12606544 22107424 25213088 52406129 104812258 108464549 123701713 209624516 216929098 247403426 419249032 426258769 433858196 494806852 838498064 852517538 867716392 989613704 1676996128 1705035076 1735432784 1979227408 3410070152 3470865568 3958454816 6820140304 13640280608 66922626733 133845253466 267690506932 535381013864 1070762027728 2141524055456