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1040463412974 = 233411493154009
BaseRepresentation
bin11110010010000000111…
…00111011111011101110
310200110121200110210002000
433021000130323323232
5114021332113203344
62113552101513130
7135112440042036
oct17110034737356
93613550423060
101040463412974
11371292520a67
121497951127a6
1377166362c5b
14385043a48c6
151c0e8c8aa69
hexf24073beee

1040463412974 has 64 divisors (see below), whose sum is σ = 2384431560000. Its totient is φ = 336091092480.

The previous prime is 1040463412969. The next prime is 1040463413021. The reversal of 1040463412974 is 4792143640401.

1040463412974 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 634 + 1 + 2 + 9 + 7 + 4 = 666.

It is a super-2 number, since 2×10404634129742 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1247119 + ... + 1906890.

It is an arithmetic number, because the mean of its divisors is an integer number (37256743125).

Almost surely, 21040463412974 is an apocalyptic number.

1040463412974 is an abundant number, since it is smaller than the sum of its proper divisors (1343968147026).

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

1040463412974 is a wasteful number, since it uses less digits than its factorization.

1040463412974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154210 (or 3154204 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1040463412974 in words is "one trillion, forty billion, four hundred sixty-three million, four hundred twelve thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 149 246 298 369 447 738 894 1107 1341 2214 2682 4023 6109 8046 12218 18327 36654 54981 109962 164943 329886 3154009 6308018 9462027 18924054 28386081 56772162 85158243 129314369 170316486 258628738 387943107 469947341 775886214 939894682 1163829321 1409842023 2327658642 2819684046 3491487963 4229526069 6982975926 8459052138 12688578207 19267840981 25377156414 38535681962 57803522943 115607045886 173410568829 346821137658 520231706487 1040463412974