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40432031530002 = 23275312527483317
BaseRepresentation
bin10010011000101110100001…
…11000000111110000010010
312022011021010210110200221100
421030113100320013300102
520244414300032430002
6221554115135205230
711342055301335420
oct1114272070076022
9168137123420840
1040432031530002
1111979145813012
12464bbb9676816
131973955134748
149dacc682c110
154a1ae377e11c
hex24c5d0e07c12

40432031530002 has 96 divisors (see below), whose sum is σ = 102014773166592. Its totient is φ = 11333118356352.

The previous prime is 40432031529919. The next prime is 40432031530019. The reversal of 40432031530002 is 20003513023404.

40432031530002 is a `hidden beast` number, since 4 + 0 + 4 + 320 + 31 + 5 + 300 + 0 + 2 = 666.

It is a super-2 number, since 2×404320315300022 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83413648 + ... + 83896964.

It is an arithmetic number, because the mean of its divisors is an integer number (1062653887152).

Almost surely, 240432031530002 is an apocalyptic number.

40432031530002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40432031530002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51007386583296).

40432031530002 is an abundant number, since it is smaller than the sum of its proper divisors (61582741636590).

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

40432031530002 is a wasteful number, since it uses less digits than its factorization.

40432031530002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495912 (or 495909 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 40432031530002 its reverse (20003513023404), we get a palindrome (60435544553406).

The spelling of 40432031530002 in words is "forty trillion, four hundred thirty-two billion, thirty-one million, five hundred thirty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 6678 12527 25054 37581 75162 87689 112743 175378 225486 263067 483317 526134 663931 789201 966634 1327862 1449951 1578402 1991793 2899902 3383219 3983586 4349853 4647517 5975379 6766438 8699706 9295034 10149657 11950758 13942551 20299314 25615801 27885102 30448971 41827653 51231602 60897942 76847403 83655306 153694806 179310607 230542209 358621214 461084418 537931821 1075863642 1613795463 3227590926 6054512059 12109024118 18163536177 36327072354 42381584413 54490608531 84763168826 108981217062 127144753239 254289506478 320889139127 381434259717 641778278254 762868519434 962667417381 1925334834762 2246223973889 2888002252143 4492447947778 5776004504286 6738671921667 13477343843334 20216015765001 40432031530002