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4143155456 = 28113121531
BaseRepresentation
bin1111011011110011…
…1000100100000000
3101200202002002211002
43312330320210000
531441121433311
61523042111132
7204446145266
oct36674704400
911622062732
104143155456
111836781020
1297764b4a8
1351049509b
142b437a436
15193b0193b
hexf6f38900

4143155456 has 108 divisors (see below), whose sum is σ = 9328464432. Its totient is φ = 1821312000.

The previous prime is 4143155449. The next prime is 4143155461. The reversal of 4143155456 is 6545513414.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2705411 + ... + 2706941.

Almost surely, 24143155456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664232216).

4143155456 is an abundant number, since it is smaller than the sum of its proper divisors (5185308976).

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

4143155456 is a wasteful number, since it uses less digits than its factorization.

4143155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1575 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

The square root of 4143155456 is about 64367.3477471303. The cubic root of 4143155456 is about 1606.1166203832.

The spelling of 4143155456 in words is "four billion, one hundred forty-three million, one hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 961 992 1364 1408 1531 1922 1984 2728 2816 3062 3844 3968 5456 6124 7688 7936 10571 10912 12248 15376 16841 21142 21824 24496 30752 33682 42284 43648 47461 48992 61504 67364 84568 87296 94922 97984 123008 134728 169136 189844 195968 246016 269456 338272 379688 391936 522071 538912 676544 759376 1044142 1077824 1353088 1471291 1518752 2088284 2155648 2706176 2942582 3037504 4176568 4311296 5885164 6075008 8353136 11770328 12150016 16184201 16706272 23540656 32368402 33412544 47081312 64736804 66825088 94162624 129473608 133650176 188325248 258947216 376650496 517894432 1035788864 2071577728 4143155456