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14002342656 = 283971011861
BaseRepresentation
bin11010000101001101…
…01100101100000000
31100010211212201002120
431002212230230000
5212134044431111
610233234444240
71003663643301
oct150246545400
940124781076
1014002342656
115a35a59315
122869433680
131421c4c273
1496b9267a8
1556e447406
hex3429acb00

14002342656 has 144 divisors (see below), whose sum is σ = 38044056288. Its totient is φ = 4571136000.

The previous prime is 14002342639. The next prime is 14002342703. The reversal of 14002342656 is 65624320041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7523166 + ... + 7525026.

Almost surely, 214002342656 is an apocalyptic number.

14002342656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14002342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022028144).

14002342656 is an abundant number, since it is smaller than the sum of its proper divisors (24041713632).

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

14002342656 is a wasteful number, since it uses less digits than its factorization.

14002342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 14002342656 its reverse (65624320041), we get a palindrome (79626662697).

The spelling of 14002342656 in words is "fourteen billion, two million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 101 128 192 194 202 256 291 303 384 388 404 582 606 768 776 808 1164 1212 1552 1616 1861 2328 2424 3104 3232 3722 4656 4848 5583 6208 6464 7444 9312 9696 9797 11166 12416 12928 14888 18624 19392 19594 22332 24832 25856 29391 29776 37248 38784 39188 44664 58782 59552 74496 77568 78376 89328 117564 119104 156752 178656 180517 187961 235128 238208 313504 357312 361034 375922 470256 476416 541551 563883 627008 714624 722068 751844 940512 1083102 1127766 1254016 1429248 1444136 1503688 1881024 2166204 2255532 2508032 2888272 3007376 3762048 4332408 4511064 5776544 6014752 7524096 8664816 9022128 11553088 12029504 17329632 18044256 18232217 23106176 24059008 34659264 36088512 36464434 46212352 48118016 54696651 69318528 72177024 72928868 109393302 138637056 144354048 145857736 218786604 291715472 437573208 583430944 875146416 1166861888 1750292832 2333723776 3500585664 4667447552 7001171328 14002342656