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30225040145514 = 232191312545726501
BaseRepresentation
bin1101101111101010100001…
…10001111111110001101010
310222000111010000102122002100
412313311100301333301222
512430201340234124024
6144141105230314230
76236454446150004
oct667652061776152
9128014100378070
1030225040145514
1196a3405219195
123481994958976
1313b32943ac776
14766c84ca5374
153763517007c9
hex1b7d50c7fc6a

30225040145514 has 96 divisors (see below), whose sum is σ = 69465867831360. Its totient is φ = 9471159360000.

The previous prime is 30225040145513. The next prime is 30225040145539. The reversal of 30225040145514 is 41554104052203.

30225040145514 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 50 + 40 + 14 + 551 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (30225040145513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140511264 + ... + 1140537764.

It is an arithmetic number, because the mean of its divisors is an integer number (723602789910).

Almost surely, 230225040145514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30225040145514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732933915680).

30225040145514 is an abundant number, since it is smaller than the sum of its proper divisors (39240827685846).

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

30225040145514 is a wasteful number, since it uses less digits than its factorization.

30225040145514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52116 (or 52113 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 30225040145514 its reverse (41554104052203), we get a palindrome (71779144197717).

The spelling of 30225040145514 in words is "thirty trillion, two hundred twenty-five billion, forty million, one hundred forty-five thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 131 171 262 342 393 786 1179 2358 2489 4978 7467 14934 22401 25457 26501 44802 50914 53002 76371 79503 152742 159006 229113 238509 458226 477018 483683 503519 967366 1007038 1451049 1510557 2902098 3021114 3334867 3471631 4353147 4531671 6669734 6943262 8706294 9063342 10004601 10414893 20009202 20829786 30013803 31244679 60027606 62489358 63362473 65960989 126724946 131921978 190087419 197882967 380174838 395765934 570262257 593648901 674635957 1140524514 1187297802 1349271914 2023907871 4047815742 6071723613 12143447226 12818083183 25636166366 38454249549 76908499098 88377310367 115362748647 176754620734 230725497294 265131931101 530263862202 795395793303 1590791586606 1679168896973 3358337793946 5037506690919 10075013381838 15112520072757 30225040145514