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1344308354004 = 2237115924658969
BaseRepresentation
bin10011100011111111000…
…001011001101111010100
311202111220011100001100110
4103203333001121233110
5134011120414312004
62505322225243020
7166060133321130
oct23437701315724
94674804301313
101344308354004
11479133024380
12198652193470
13999c99327a5
14490ca0163c0
1524e7dc91589
hex138ff059bd4

1344308354004 has 96 divisors (see below), whose sum is σ = 3976998681600. Its totient is φ = 343252834560.

The previous prime is 1344308353943. The next prime is 1344308354069. The reversal of 1344308354004 is 4004538034431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12274969 + ... + 12384000.

It is an arithmetic number, because the mean of its divisors is an integer number (41427069600).

Almost surely, 21344308354004 is an apocalyptic number.

1344308354004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1344308354004 is an abundant number, since it is smaller than the sum of its proper divisors (2632690327596).

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

1344308354004 is a wasteful number, since it uses less digits than its factorization.

1344308354004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24659053 (or 24659051 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 1344308354004 in words is "one trillion, three hundred forty-four billion, three hundred eight million, three hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 649 708 826 924 1239 1298 1652 1947 2478 2596 3894 4543 4956 7788 9086 13629 18172 27258 54516 24658969 49317938 73976907 98635876 147953814 172612783 271248659 295907628 345225566 517838349 542497318 690451132 813745977 1035676698 1084994636 1454879171 1627491954 1898740613 2071353396 2909758342 3254983908 3797481226 4364637513 5696221839 5819516684 7594962452 8729275026 10184154197 11392443678 16003670881 17458550052 20368308394 22784887356 30552462591 32007341762 40736616788 48011012643 61104925182 64014683524 96022025286 112025696167 122209850364 192044050572 224051392334 336077088501 448102784668 672154177002 1344308354004