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133040100041345 = 57431134431765891
BaseRepresentation
bin11110001111111111001111…
…111001110110001010000001
3122110001111202022120201122102
4132033333033321312022001
5114414212111102310340
61150541440032320145
740010554462533230
oct3617771771661201
9573044668521572
10133040100041345
1139432a98141542
1212b080903a3055
135930820ac3bb3
1424bd264a64b17
15105aa29486215
hex78ffcfe76281

133040100041345 has 64 divisors (see below), whose sum is σ = 188775606564864. Its totient is φ = 88117967508480.

The previous prime is 133040100041339. The next prime is 133040100041363. The reversal of 133040100041345 is 543140001040331.

It is a happy number.

It is not a de Polignac number, because 133040100041345 - 26 = 133040100041281 is a prime.

It is a super-2 number, since 2×1330401000413452 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74455850 + ... + 76221740.

It is an arithmetic number, because the mean of its divisors is an integer number (2949618852576).

Almost surely, 2133040100041345 is an apocalyptic number.

It is an amenable number.

133040100041345 is a deficient number, since it is larger than the sum of its proper divisors (55735506523519).

133040100041345 is a wasteful number, since it uses less digits than its factorization.

133040100041345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766502.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 133040100041345 its reverse (543140001040331), we get a palindrome (676180101081676).

The spelling of 133040100041345 in words is "one hundred thirty-three trillion, forty billion, one hundred million, forty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 43 113 215 301 443 565 791 1505 2215 3101 3955 4859 15505 19049 24295 34013 50059 95245 133343 170065 250295 350413 666715 1752065 1765891 2152537 8829455 10762685 12361237 15067759 61806185 75338795 75933313 199545683 379666565 531533191 782289713 997728415 1396819781 2657665955 3911448565 5476027991 6984098905 8580464369 27380139955 33638457659 42902321845 60063250583 88398737569 168192288295 235469203613 300316252915 441993687845 618791162983 1177346018065 3093955814915 3801145715467 19005728577335 26608020008269 133040100041345