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7014430336 = 271923891409
BaseRepresentation
bin1101000100001011…
…11011011010000000
3200002211212222111011
412202011323122000
5103331143232321
63120011330304
7335552450134
oct64205733200
920084788434
107014430336
112a7a510371
121439150994
1387a2b91c4
144a78353c4
152b0c19ae1
hex1a217b680

7014430336 has 128 divisors (see below), whose sum is σ = 15532560000. Its totient is φ = 3140222976.

The previous prime is 7014430243. The next prime is 7014430349. The reversal of 7014430336 is 6330344107.

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

It is a junction number, because it is equal to n+sod(n) for n = 7014430298 and 7014430307.

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, 4977600 + ... + 4979008.

It is an arithmetic number, because the mean of its divisors is an integer number (121348125).

Almost surely, 27014430336 is an apocalyptic number.

7014430336 is a gapful number since it is divisible by the number (76) 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 7014430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766280000).

7014430336 is an abundant number, since it is smaller than the sum of its proper divisors (8518129664).

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

7014430336 is a wasteful number, since it uses less digits than its factorization.

7014430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 7014430336 is about 83752.1960070302. The cubic root of 7014430336 is about 1914.2447681490.

The spelling of 7014430336 in words is "seven billion, fourteen million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 89 92 128 152 178 184 304 356 368 437 608 712 736 874 1216 1409 1424 1472 1691 1748 2047 2432 2818 2848 2944 3382 3496 4094 5636 5696 6764 6992 8188 11272 11392 13528 13984 16376 22544 26771 27056 27968 32407 32752 38893 45088 53542 54112 55936 64814 65504 77786 90176 107084 108224 125401 129628 131008 155572 180352 214168 216448 250802 259256 262016 311144 428336 501604 518512 615733 622288 856672 1003208 1037024 1231466 1244576 1713344 2006416 2074048 2382619 2462932 2489152 2884223 3426688 4012832 4148096 4765238 4925864 4978304 5768446 8025664 9530476 9851728 11536892 16051328 19060952 19703456 23073784 38121904 39406912 46147568 54800237 76243808 78813824 92295136 109600474 152487616 184590272 219200948 304975232 369180544 438401896 876803792 1753607584 3507215168 7014430336