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1345690134468 = 2232172395601743
BaseRepresentation
bin10011100101010001011…
…000011110011111000100
311202122110110101202210200
4103211101120132133010
5134021433133300333
62510111305450500
7166136312261451
oct23452130363704
94678413352720
101345690134468
11479781aa94a9
12198978aa0a30
1399b89ca2374
14491bb744828
1525010237c13
hex1395161e7c4

1345690134468 has 72 divisors (see below), whose sum is σ = 3758295760128. Its totient is φ = 403821758208.

The previous prime is 1345690134461. The next prime is 1345690134473. The reversal of 1345690134468 is 8644310965431.

It is a happy number.

1345690134468 is a `hidden beast` number, since 1 + 3 + 4 + 569 + 0 + 1 + 34 + 46 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1345690134461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47786796 + ... + 47814947.

It is an arithmetic number, because the mean of its divisors is an integer number (52198552224).

Almost surely, 21345690134468 is an apocalyptic number.

1345690134468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1345690134468 is an abundant number, since it is smaller than the sum of its proper divisors (2412605625660).

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

1345690134468 is a wasteful number, since it uses less digits than its factorization.

1345690134468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95601793 (or 95601788 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1345690134468 in words is "one trillion, three hundred forty-five billion, six hundred ninety million, one hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076 95601743 191203486 286805229 382406972 573610458 860415687 1147220916 1625229631 1720831374 2198840089 3250459262 3441662748 4397680178 4875688893 6500918524 6596520267 8795360356 9751377786 13193040534 14627066679 19502755572 19789560801 26386081068 29254133358 37380281513 39579121602 58508266716 74760563026 79158243204 112140844539 149521126052 224281689078 336422533617 448563378156 672845067234 1345690134468