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4115031980224 = 261131414598911
BaseRepresentation
bin111011111000011011000…
…001001111100011000000
3112120101121122122202111011
4323320123001033203000
51014410041141331344
612430230344330304
7603205220464624
oct73703301174300
915511548582434
104115031980224
1113471a2301a20
1256562ba73994
1323b079970619
1410325094b184
1572094c24d34
hex3be1b04f8c0

4115031980224 has 112 divisors (see below), whose sum is σ = 9419749097472. Its totient is φ = 1765981440000.

The previous prime is 4115031980207. The next prime is 4115031980251. The reversal of 4115031980224 is 4220891305114.

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, 1404672 + ... + 3194239.

It is an arithmetic number, because the mean of its divisors is an integer number (84104902656).

Almost surely, 24115031980224 is an apocalyptic number.

4115031980224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4115031980224 is an abundant number, since it is smaller than the sum of its proper divisors (5304717117248).

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

4115031980224 is a wasteful number, since it uses less digits than its factorization.

4115031980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599006 (or 4598996 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 4115031980224 in words is "four trillion, one hundred fifteen billion, thirty-one million, nine hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 41 44 62 64 82 88 124 164 176 248 328 341 352 451 496 656 682 704 902 992 1271 1312 1364 1804 1984 2542 2624 2728 3608 5084 5456 7216 10168 10912 13981 14432 20336 21824 27962 28864 40672 55924 81344 111848 223696 447392 894784 4598911 9197822 18395644 36791288 50588021 73582576 101176042 142566241 147165152 188555351 202352084 285132482 294330304 377110702 404704168 570264964 754221404 809408336 1140529928 1508442808 1568228651 1618816672 2074108861 2281059856 3016885616 3136457302 3237633344 4148217722 4562119712 5845215881 6033771232 6272914604 8296435444 9124239424 11690431762 12067542464 12545829208 16592870888 23380863524 25091658416 33185741776 46761727048 50183316832 64297374691 66371483552 93523454096 100366633664 128594749382 132742967104 187046908192 257189498764 374093816384 514378997528 1028757995056 2057515990112 4115031980224