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1407660722145 = 3254113913014219
BaseRepresentation
bin10100011110111111000…
…111100000011111100001
311222120102021222210122200
4110132333013200133201
5141030342121102040
62554400450323413
7203462100500646
oct24367707403741
94876367883580
101407660722145
114a2a92864217
121a8992889569
13a2984a79262
144c1b9bd7dcd
152693a98d630
hex147bf1e07e1

1407660722145 has 96 divisors (see below), whose sum is σ = 2519969961600. Its totient is φ = 726440832000.

The previous prime is 1407660722123. The next prime is 1407660722219. The reversal of 1407660722145 is 5412270667041.

1407660722145 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 6 + 607 + 22 + 14 + 5 = 666.

It is not a de Polignac number, because 1407660722145 - 214 = 1407660705761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1407660722145.

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 95 ways as a sum of consecutive naturals, for example, 333645846 + ... + 333650064.

It is an arithmetic number, because the mean of its divisors is an integer number (26249687100).

Almost surely, 21407660722145 is an apocalyptic number.

1407660722145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1407660722145 is a deficient number, since it is larger than the sum of its proper divisors (1112309239455).

1407660722145 is a wasteful number, since it uses less digits than its factorization.

1407660722145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1407660722145 in words is "one trillion, four hundred seven billion, six hundred sixty million, seven hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 139 205 369 417 615 695 1251 1301 1845 2085 3903 4219 5699 6255 6505 11709 12657 17097 19515 21095 28495 37971 51291 53341 58545 63285 85485 160023 172979 180839 189855 256455 266705 480069 518937 542517 586441 800115 864895 904195 1556811 1627551 1759323 2400345 2594685 2712585 2932205 5277969 5488919 7414399 7784055 8137755 8796615 16466757 22243197 24044081 26389845 27444595 37071995 49400271 66729591 72132243 82333785 111215985 120220405 216396729 225045679 247001355 333647955 360661215 675137037 762959741 1081983645 1125228395 2025411111 2288879223 3375685185 3814798705 6866637669 10127055555 11444396115 31281349381 34333188345 93844048143 156406746905 281532144429 469220240715 1407660722145