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4142713830336 = 263316314707999
BaseRepresentation
bin111100010010001100111…
…111000111101111000000
3112200001001211221110001000
4330102030333013233000
51020333234220032321
612451045250412000
7605205211360164
oct74221477075700
915601054843030
104142713830336
111357a07a586a4
1256aa76591000
1324086b9a72a3
14104719160ca4
1572b65094826
hex3c48cfc7bc0

4142713830336 has 112 divisors (see below), whose sum is σ = 12253528960000. Its totient is φ = 1372432709376.

The previous prime is 4142713830271. The next prime is 4142713830337. The reversal of 4142713830336 is 6330383172414.

4142713830336 is a `hidden beast` number, since 4 + 14 + 271 + 3 + 8 + 30 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4142713830291 and 4142713830300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142713830337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7072336 + ... + 7635663.

Almost surely, 24142713830336 is an apocalyptic number.

It is an amenable number.

4142713830336 is an abundant number, since it is smaller than the sum of its proper divisors (8110815129664).

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

4142713830336 is a wasteful number, since it uses less digits than its factorization.

4142713830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14708183 (or 14708167 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4142713830336 in words is "four trillion, one hundred forty-two billion, seven hundred thirteen million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 163 192 216 288 326 432 489 576 652 864 978 1304 1467 1728 1956 2608 2934 3912 4401 5216 5868 7824 8802 10432 11736 15648 17604 23472 31296 35208 46944 70416 93888 140832 281664 14707999 29415998 44123997 58831996 88247994 117663992 132371991 176495988 235327984 264743982 352991976 397115973 470655968 529487964 705983952 794231946 941311936 1058975928 1411967904 1588463892 2117951856 2397403837 2823935808 3176927784 4235903712 4794807674 6353855568 7192211511 8471807424 9589615348 12707711136 14384423022 19179230696 21576634533 25415422272 28768846044 38358461392 43153269066 57537692088 64729903599 76716922784 86306538132 115075384176 129459807198 153433845568 172613076264 230150768352 258919614396 345226152528 460301536704 517839228792 690452305056 1035678457584 1380904610112 2071356915168 4142713830336