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40790240401617 = 3275323352430491
BaseRepresentation
bin10010100011001001101111…
…10010100001100011010001
312100102111201222122210012100
421101210313302201203101
520321301403020322432
6222430435554351013
711406666116451120
oct1121446762414321
9170374658583170
1040790240401617
1111aa7053342083
1246a9508b8b469
13199b6705b8545
14a103885b9ab7
154ab0ab2db07c
hex251937ca18d1

40790240401617 has 48 divisors (see below), whose sum is σ = 68901216478848. Its totient is φ = 22770771528960.

The previous prime is 40790240401529. The next prime is 40790240401619. The reversal of 40790240401617 is 71610404209704.

40790240401617 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 0 + 24 + 0 + 4 + 0 + 1 + 617 = 666.

It is not a de Polignac number, because 40790240401617 - 212 = 40790240397521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40790240401619) 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, 25437259 + ... + 26993232.

It is an arithmetic number, because the mean of its divisors is an integer number (1435442009976).

Almost surely, 240790240401617 is an apocalyptic number.

It is an amenable number.

40790240401617 is a deficient number, since it is larger than the sum of its proper divisors (28110976077231).

40790240401617 is a wasteful number, since it uses less digits than its factorization.

40790240401617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52430790 (or 52430787 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40790240401617 in words is "forty trillion, seven hundred ninety billion, two hundred forty million, four hundred one thousand, six hundred seventeen".

Divisors: 1 3 7 9 21 53 63 159 233 371 477 699 1113 1631 2097 3339 4893 12349 14679 37047 86443 111141 259329 777987 52430491 157291473 367013437 471874419 1101040311 2778816023 3303120933 8336448069 12216304403 19451712161 25009344207 36648913209 58355136483 85514130821 109946739627 175065409449 256542392463 647464133359 769627177389 1942392400077 4532248933513 5827177200231 13596746800539 40790240401617