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53440521344 = 277238929137
BaseRepresentation
bin110001110001010011…
…011010010010000000
312002221100202202122022
4301301103122102000
51333421233140334
640314503501012
73601206636140
oct616123322200
9162840682568
1053440521344
1120733865721
12a435157768
1350687b2782
14282d648920
1515cb95382e
hexc714da480

53440521344 has 128 divisors (see below), whose sum is σ = 128393683200. Its totient is φ = 21660401664.

The previous prime is 53440521301. The next prime is 53440521359. The reversal of 53440521344 is 44312504435.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1819544 + ... + 1848680.

It is an arithmetic number, because the mean of its divisors is an integer number (1003075650).

Almost surely, 253440521344 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 53440521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64196841600).

53440521344 is an abundant number, since it is smaller than the sum of its proper divisors (74953161856).

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

53440521344 is a wasteful number, since it uses less digits than its factorization.

53440521344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29270 (or 29258 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 53440521344 in words is "fifty-three billion, four hundred forty million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 89 92 112 128 161 178 184 224 322 356 368 448 623 644 712 736 896 1246 1288 1424 1472 2047 2492 2576 2848 2944 4094 4984 5152 5696 8188 9968 10304 11392 14329 16376 19936 20608 28658 29137 32752 39872 57316 58274 65504 79744 114632 116548 131008 203959 229264 233096 262016 407918 458528 466192 670151 815836 917056 932384 1340302 1631672 1834112 1864768 2593193 2680604 3263344 3729536 4691057 5186386 5361208 6526688 9382114 10372772 10722416 13053376 18152351 18764228 20745544 21444832 26106752 36304702 37528456 41491088 42889664 59643439 72609404 75056912 82982176 85779328 119286878 145218808 150113824 165964352 238573756 290437616 300227648 331928704 417504073 477147512 580875232 600455296 835008146 954295024 1161750464 1670016292 1908590048 2323500928 3340032584 3817180096 6680065168 7634360192 13360130336 26720260672 53440521344