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4010480116425 = 3252101456138693
BaseRepresentation
bin111010010111000011001…
…111100010001011001001
3112012101202020212202222100
4322113003033202023021
51011201430402211200
612310220015144013
7562514302346316
oct72270317421311
915171666782870
104010480116425
111306920522212
12549311815009
132312570c8863
14dc17315dd0d
156e4c60a4d00
hex3a5c33e22c9

4010480116425 has 72 divisors (see below), whose sum is σ = 7256114482968. Its totient is φ = 2117226240000.

The previous prime is 4010480116337. The next prime is 4010480116439. The reversal of 4010480116425 is 5246110840104.

4010480116425 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 4 + 8 + 0 + 1 + 1 + 642 + 5 = 666.

4010480116425 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 12 ways, for example, as 64806394041 + 3945673722384 = 254571^2 + 1986372^2 .

It is not a de Polignac number, because 4010480116425 - 210 = 4010480115401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4010480116425.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103629379 + ... + 103668071.

It is an arithmetic number, because the mean of its divisors is an integer number (100779367819).

Almost surely, 24010480116425 is an apocalyptic number.

4010480116425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4010480116425 is a deficient number, since it is larger than the sum of its proper divisors (3245634366543).

4010480116425 is a wasteful number, since it uses less digits than its factorization.

4010480116425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43371 (or 43363 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 4010480116425 its reverse (5246110840104), we get a palindrome (9256590956529).

The spelling of 4010480116425 in words is "four trillion, ten billion, four hundred eighty million, one hundred sixteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 225 303 505 909 1515 2525 4545 4561 7575 13683 22725 22805 38693 41049 68415 114025 116079 193465 205245 342075 348237 460661 580395 967325 1026225 1381983 1741185 2303305 2901975 3907993 4145949 6909915 8705925 11516525 11723979 19539965 20729745 34549575 35171937 58619895 97699825 103648725 175859685 176478773 293099475 529436319 879298425 882393865 1588308957 2647181595 4411969325 7941544785 13235907975 17824356073 39707723925 53473068219 89121780365 160419204657 267365341095 445608901825 802096023285 1336826705475 4010480116425