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1421409209625 = 325337149229181
BaseRepresentation
bin10100101011110010100…
…101110100110100011001
312000212220110012022220200
4110223302211310310121
5141242021224202000
63004553020212413
7204456562634556
oct24536245646431
95025813168820
101421409209625
114a88a8496369
121ab58b09a109
13a4066236152
144cb21b1da2d
1526e9298e500
hex14af2974d19

1421409209625 has 96 divisors (see below), whose sum is σ = 2649252247200. Its totient is φ = 732642624000.

The previous prime is 1421409209609. The next prime is 1421409209641. The reversal of 1421409209625 is 5269029041241.

1421409209625 is a `hidden beast` number, since 1 + 4 + 2 + 14 + 0 + 9 + 2 + 0 + 9 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (1421409209609) and next prime (1421409209641).

It can be written as a sum of positive squares in 16 ways, for example, as 713367741321 + 708041468304 = 844611^2 + 841452^2 .

It is not a de Polignac number, because 1421409209625 - 24 = 1421409209609 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6087535 + ... + 6316715.

It is an arithmetic number, because the mean of its divisors is an integer number (27596377575).

Almost surely, 21421409209625 is an apocalyptic number.

1421409209625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1421409209625 is a deficient number, since it is larger than the sum of its proper divisors (1227843037575).

1421409209625 is a wasteful number, since it uses less digits than its factorization.

1421409209625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229388 (or 229375 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1421409209625 in words is "one trillion, four hundred twenty-one billion, four hundred nine million, two hundred nine thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 149 185 225 333 375 447 555 745 925 1125 1341 1665 2235 2775 3725 4625 5513 6705 8325 11175 13875 16539 18625 27565 33525 41625 49617 55875 82695 137825 167625 229181 248085 413475 687543 689125 1145905 1240425 2062629 2067375 3437715 5729525 6202125 8479697 10313145 17188575 25439091 28647625 34147969 42398485 51565725 76317273 85942875 102443907 127195455 170739845 211992425 257828625 307331721 381586365 512219535 635977275 853699225 1059962125 1263474853 1536658605 1907931825 2561097675 3179886375 3790424559 4268496125 6317374265 7683293025 9539659125 11371273677 12805488375 18952122795 31586871325 38416465125 56856368385 94760613975 157934356625 284281841925 473803069875 1421409209625