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1345435436004 = 2231123742895839
BaseRepresentation
bin10011100101000010001…
…100111000001111100100
311202121210201010202012020
4103211002030320033210
5134020422432423004
62510030130423140
7166130100340362
oct23450214701744
94677721122166
101345435436004
11479661256800
12198907731ab0
1399b492a620a
14491959a4632
1524ee7bc68d9
hex139423383e4

1345435436004 has 144 divisors (see below), whose sum is σ = 3545385043200. Its totient is φ = 396528168960.

The previous prime is 1345435435961. The next prime is 1345435436047. The reversal of 1345435436004 is 4006345345431.

It is an interprime number because it is at equal distance from previous prime (1345435435961) and next prime (1345435436047).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230419317 + ... + 230425155.

Almost surely, 21345435436004 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 1345435436004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772692521600).

1345435436004 is an abundant number, since it is smaller than the sum of its proper divisors (2199949607196).

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

1345435436004 is a wasteful number, since it uses less digits than its factorization.

1345435436004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 1345435436004 in words is "one trillion, three hundred forty-five billion, four hundred thirty-five million, four hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4289 4477 4884 5839 8578 8954 11678 12867 13431 17156 17517 17908 23356 25734 26862 35034 47179 51468 53724 64229 70068 94358 128458 141537 158693 188716 192687 216043 256916 283074 317386 385374 432086 476079 518969 566148 634772 648129 706519 770748 864172 952158 1037938 1296258 1413038 1556907 1745623 1904316 2075876 2119557 2376473 2592516 2826076 3113814 3491246 4239114 4752946 5236869 6227628 6982492 7129419 8478228 9505892 10473738 14258838 19201853 20947476 25043471 26141203 28517676 38403706 50086942 52282406 57605559 75130413 76807412 78423609 100173884 104564812 115211118 150260826 156847218 230422236 275478181 300521652 313694436 550956362 826434543 926608427 1101912724 1652869086 1853216854 2779825281 3030259991 3305738172 3706433708 5559650562 6060519982 9090779973 10192692697 11119301124 12121039964 18181559946 20385385394 30578078091 36363119892 40770770788 61156156182 112119619667 122312312364 224239239334 336358859001 448478478668 672717718002 1345435436004