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14428811904 = 2731323125669
BaseRepresentation
bin11010111000000011…
…00011001010000000
31101020120100120220220
431130001203022000
5214022233440104
610343431303040
71020362610003
oct153401431200
941216316826
1014428811904
116134762a41
12296821aa80
13148c3ca730
149ac41b53a
15596ad87d9
hex35c063280

14428811904 has 128 divisors (see below), whose sum is σ = 43069622400. Its totient is φ = 4246573056.

The previous prime is 14428811899. The next prime is 14428811911. The reversal of 14428811904 is 40911882441.

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

It is a super-2 number, since 2×144288119042 (a number of 21 digits) contains 22 as substring.

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, 51982 + ... + 177650.

It is an arithmetic number, because the mean of its divisors is an integer number (336481425).

Almost surely, 214428811904 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 14428811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21534811200).

14428811904 is an abundant number, since it is smaller than the sum of its proper divisors (28640810496).

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

14428811904 is a wasteful number, since it uses less digits than its factorization.

14428811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125722 (or 125710 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 14428811904 in words is "fourteen billion, four hundred twenty-eight million, eight hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 276 299 312 368 384 416 552 598 624 736 832 897 1104 1196 1248 1472 1664 1794 2208 2392 2496 2944 3588 4416 4784 4992 7176 8832 9568 14352 19136 28704 38272 57408 114816 125669 251338 377007 502676 754014 1005352 1508028 1633697 2010704 2890387 3016056 3267394 4021408 4901091 5780774 6032112 6534788 8042816 8671161 9802182 11561548 12064224 13069576 16085632 17342322 19604364 23123096 24128448 26139152 34684644 37575031 39208728 46246192 48256896 52278304 69369288 75150062 78417456 92492384 104556608 112725093 138738576 150300124 156834912 184984768 209113216 225450186 277477152 300600248 313669824 369969536 450900372 554954304 601200496 627339648 901800744 1109908608 1202400992 1803601488 2404801984 3607202976 4809603968 7214405952 14428811904