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14029596096 = 263317929837
BaseRepresentation
bin11010001000011101…
…01010010111000000
31100012202011022210020
431010032222113000
5212213034033341
610240050533440
71004444412345
oct150416522700
940182138706
1014029596096
115a4a38321a
122876597280
1314277a2069
149713bc7cc
15571a2c566
hex3443aa5c0

14029596096 has 112 divisors (see below), whose sum is σ = 38803722240. Its totient is φ = 4468239360.

The previous prime is 14029596071. The next prime is 14029596109. The reversal of 14029596096 is 69069592041.

It is a congruent number.

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, 455290 + ... + 485126.

Almost surely, 214029596096 is an apocalyptic number.

14029596096 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 14029596096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401861120).

14029596096 is an abundant number, since it is smaller than the sum of its proper divisors (24774126144).

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

14029596096 is a wasteful number, since it uses less digits than its factorization.

14029596096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29962 (or 29952 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 14029596096 in words is "fourteen billion, twenty-nine million, five hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 158 186 192 237 248 316 372 474 496 632 744 948 992 1264 1488 1896 1984 2449 2528 2976 3792 4898 5056 5952 7347 7584 9796 14694 15168 19592 29388 29837 39184 58776 59674 78368 89511 117552 119348 156736 179022 235104 238696 358044 470208 477392 716088 924947 954784 1432176 1849894 1909568 2357123 2774841 2864352 3699788 4714246 5549682 5728704 7071369 7399576 9428492 11099364 14142738 14799152 18856984 22198728 28285476 29598304 37713968 44397456 56570952 59196608 73070813 75427936 88794912 113141904 146141626 150855872 177589824 219212439 226283808 292283252 438424878 452567616 584566504 876849756 1169133008 1753699512 2338266016 3507399024 4676532032 7014798048 14029596096