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40785742984 = 23717732932003
BaseRepresentation
bin100101111111000001…
…010000110010001000
310220021102120102020111
4211333001100302020
51132012122233414
630423044004104
72642465044450
oct457701206210
9126242512214
1040785742984
111632a541408
127aa3090634
133accab303c
141d8caa4d60
1510da9948c4
hex97f050c88

40785742984 has 128 divisors (see below), whose sum is σ = 94173891840. Its totient is φ = 16162578432.

The previous prime is 40785742909. The next prime is 40785743017. The reversal of 40785742984 is 48924758704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20361327 + ... + 20363329.

It is an arithmetic number, because the mean of its divisors is an integer number (735733530).

Almost surely, 240785742984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40785742984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47086945920).

40785742984 is an abundant number, since it is smaller than the sum of its proper divisors (53388148856).

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

40785742984 is a wasteful number, since it uses less digits than its factorization.

40785742984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 40785742984 in words is "forty billion, seven hundred eighty-five million, seven hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 293 476 511 584 586 952 1022 1172 1241 2003 2044 2051 2344 2482 4006 4088 4102 4964 4981 8012 8204 8687 9928 9962 14021 16024 16408 17374 19924 21389 28042 34051 34748 34867 39848 42778 56084 68102 69496 69734 85556 112168 136204 139468 146219 149723 171112 238357 272408 278936 292438 299446 363613 476714 584876 586879 598892 727226 953428 1023533 1169752 1173758 1197784 1454452 1906856 2047066 2347516 2485723 2545291 2908904 4094132 4108153 4695032 4971446 5090582 8188264 8216306 9942892 9976943 10181164 16432612 17400061 19885784 19953886 20362328 32865224 34800122 39907772 42842167 69600244 69838601 79815544 85684334 139200488 139677202 171368668 279354404 299895169 342737336 558708808 599790338 728316839 1199580676 1456633678 2399161352 2913267356 5098217873 5826534712 10196435746 20392871492 40785742984