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40001868312 = 23373759109073
BaseRepresentation
bin100101010000010011…
…000001001000011000
310211020210120110100020
4211100103001020120
51123410434241222
630213202510440
72614166161530
oct452023011030
9124223513306
1040001868312
1115a680147aa
127904665420
133a06587a83
141d169364c0
151091c5565c
hex9504c1218

40001868312 has 128 divisors (see below), whose sum is σ = 119370585600. Its totient is φ = 10931632128.

The previous prime is 40001868271. The next prime is 40001868323. The reversal of 40001868312 is 21386810004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312208 + ... + 421280.

It is an arithmetic number, because the mean of its divisors is an integer number (932582700).

Almost surely, 240001868312 is an apocalyptic number.

40001868312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40001868312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59685292800).

40001868312 is an abundant number, since it is smaller than the sum of its proper divisors (79368717288).

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

40001868312 is a wasteful number, since it uses less digits than its factorization.

40001868312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109185 (or 109181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 40001868312 in words is "forty billion, one million, eight hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 59 74 84 111 118 148 168 177 222 236 259 296 354 413 444 472 518 708 777 826 888 1036 1239 1416 1554 1652 2072 2183 2478 3108 3304 4366 4956 6216 6549 8732 9912 13098 15281 17464 26196 30562 45843 52392 61124 91686 109073 122248 183372 218146 327219 366744 436292 654438 763511 872584 1308876 1527022 2290533 2617752 3054044 4035701 4581066 6108088 6435307 8071402 9162132 12107103 12870614 16142804 18324264 19305921 24214206 25741228 28249907 32285608 38611842 45047149 48428412 51482456 56499814 77223684 84749721 90094298 96856824 112999628 135141447 154447368 169499442 180188596 225999256 238106359 270282894 338998884 360377192 476212718 540565788 677997768 714319077 952425436 1081131576 1428638154 1666744513 1904850872 2857276308 3333489026 5000233539 5714552616 6666978052 10000467078 13333956104 20000934156 40001868312