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43055254144 = 277229236713
BaseRepresentation
bin101000000110010010…
…110000101010000000
311010010121001112021101
4220012102300222000
51201134121113034
631440155304144
73052643423200
oct500622605200
9133117045241
1043055254144
1117294628771
12841714b054
1340a2041856
142126278400
1511bed42514
hexa064b0a80

43055254144 has 96 divisors (see below), whose sum is σ = 103219139700. Its totient is φ = 17815891968.

The previous prime is 43055254117. The next prime is 43055254157. The reversal of 43055254144 is 44145255034.

It can be written as a sum of positive squares in 2 ways, for example, as 42353640000 + 701614144 = 205800^2 + 26488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63532 + ... + 300244.

Almost surely, 243055254144 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 43055254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51609569850).

43055254144 is an abundant number, since it is smaller than the sum of its proper divisors (60163885556).

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

43055254144 is a wasteful number, since it uses less digits than its factorization.

43055254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236770 (or 236751 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 43055254144 in words is "forty-three billion, fifty-five million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 392 406 448 464 784 812 896 928 1421 1568 1624 1856 2842 3136 3248 3712 5684 6272 6496 11368 12992 22736 25984 45472 90944 181888 236713 473426 946852 1656991 1893704 3313982 3787408 6627964 6864677 7574816 11598937 13255928 13729354 15149632 23197874 26511856 27458708 30299264 46395748 48052739 53023712 54917416 92791496 96105478 106047424 109834832 185582992 192210956 212094848 219669664 336369173 371165984 384421912 439339328 672738346 742331968 768843824 878678656 1345476692 1484663936 1537687648 2690953384 3075375296 5381906768 6150750592 10763813536 21527627072 43055254144