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14408392704 = 21331734487
BaseRepresentation
bin11010110101100111…
…01010000000000000
31101012010221012001020
431122303222000000
5214002022031304
610341421505440
71020024213546
oct153263520000
941163835036
1014408392704
116124186772
122961412280
1314880cb574
149a9823d96
15594e035d9
hex35acea000

14408392704 has 112 divisors (see below), whose sum is σ = 40681217088. Its totient is φ = 4520148992.

The previous prime is 14408392693. The next prime is 14408392723. The reversal of 14408392704 is 40729380441.

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 7 ways as a sum of consecutive naturals, for example, 400549 + ... + 435035.

Almost surely, 214408392704 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 14408392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20340608544).

14408392704 is an abundant number, since it is smaller than the sum of its proper divisors (26272824384).

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

14408392704 is an equidigital number, since it uses as much as digits as its factorization.

14408392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34533 (or 34509 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 14408392704 in words is "fourteen billion, four hundred eight million, three hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 17408 24576 26112 34487 34816 52224 68974 69632 103461 104448 137948 139264 206922 208896 275896 413844 417792 551792 586279 827688 1103584 1172558 1655376 1758837 2207168 2345116 3310752 3517674 4414336 4690232 6621504 7035348 8828672 9380464 13243008 14070696 17657344 18760928 26486016 28141392 35314688 37521856 52972032 56282784 70629376 75043712 105944064 112565568 141258752 150087424 211888128 225131136 282517504 300174848 423776256 450262272 600349696 847552512 900524544 1200699392 1801049088 2401398784 3602098176 4802797568 7204196352 14408392704