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43714034464 = 25171931136429
BaseRepresentation
bin101000101101100011…
…110011101100100000
311011211111200000222111
4220231203303230200
51204011243100324
632025411245104
73105163106422
oct505543635440
9134744600874
1043714034464
11175a2484111
12857b8a9794
13417867b1a9
142189962812
15120cac1794
hexa2d8f3b20

43714034464 has 96 divisors (see below), whose sum is σ = 99015436800. Its totient is φ = 18859806720.

The previous prime is 43714034443. The next prime is 43714034489. The reversal of 43714034464 is 46443041734.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252202 + ... + 388630.

It is an arithmetic number, because the mean of its divisors is an integer number (1031410800).

Almost surely, 243714034464 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 43714034464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49507718400).

43714034464 is an abundant number, since it is smaller than the sum of its proper divisors (55301402336).

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

43714034464 is a wasteful number, since it uses less digits than its factorization.

43714034464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136506 (or 136498 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 43714034464 in words is "forty-three billion, seven hundred fourteen million, thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 31 32 34 38 62 68 76 124 136 152 248 272 304 323 496 527 544 589 608 646 992 1054 1178 1292 2108 2356 2584 4216 4712 5168 8432 9424 10013 10336 16864 18848 20026 40052 80104 136429 160208 272858 320416 545716 1091432 2182864 2319293 2592151 4229299 4365728 4638586 5184302 8458598 9277172 10368604 16917196 18554344 20737208 33834392 37108688 41474416 44066567 67668784 71898083 74217376 80356681 82948832 88133134 135337568 143796166 160713362 176266268 287592332 321426724 352532536 575184664 642853448 705065072 1150369328 1285706896 1366063577 1410130144 2300738656 2571413792 2732127154 5464254308 10928508616 21857017232 43714034464