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154002344314 = 272132937112657
BaseRepresentation
bin1000111101101101000…
…0010100100101111010
3112201111200120200010011
42033123100110211322
510010344100004224
6154425300412134
714061215220400
oct2173320244572
9481450520104
10154002344314
115a348343725
1225a1b0a704a
13116a3811c30
14764d155470
154015169394
hex23db41497a

154002344314 has 96 divisors (see below), whose sum is σ = 307461707280. Its totient is φ = 57232852992.

The previous prime is 154002344303. The next prime is 154002344347. The reversal of 154002344314 is 413443200451.

154002344314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 51581223225 + 102421121089 = 227115^2 + 320033^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310674 + ... + 1423330.

Almost surely, 2154002344314 is an apocalyptic number.

154002344314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

154002344314 is a deficient number, since it is larger than the sum of its proper divisors (153459362966).

154002344314 is a wasteful number, since it uses less digits than its factorization.

154002344314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112752 (or 112745 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 154002344314 its reverse (413443200451), we get a palindrome (567445544765).

The spelling of 154002344314 in words is "one hundred fifty-four billion, two million, three hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 26 29 37 49 58 74 91 98 182 203 259 377 406 481 518 637 754 962 1073 1274 1421 1813 2146 2639 2842 3367 3626 5278 6734 7511 13949 15022 18473 23569 27898 36946 47138 52577 97643 105154 112657 195286 225314 683501 788599 1367002 1464541 1577198 2929082 3267053 4168309 5520193 6534106 8336618 10251787 11040386 20503574 22869371 29178163 42471689 45738742 54188017 58356326 71762509 84943378 108376034 120880961 143525018 160085597 204247141 241761922 297301823 320171194 379316119 408494282 594603646 758632238 846166727 1571452493 1692333454 2081112761 2655212833 3142904986 4162225522 5310425666 5923167089 11000167451 11846334178 22000334902 77001172157 154002344314