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132040452529320 = 233513161913569499
BaseRepresentation
bin11110000001011100010000…
…010001001101110010101000
3122022111221111011102112202120
4132001130100101031302220
5114301322321321414240
61144454314013031240
736545415335063016
oct3601342021156250
9568457434375676
10132040452529320
1139088050190025
12129863a8485520
13588a490872b2a
142486b133758b6
15103ea1db4aad0
hex78171044dca8

132040452529320 has 128 divisors (see below), whose sum is σ = 399790036800000. Its totient is φ = 34885551018240.

The previous prime is 132040452529319. The next prime is 132040452529343. The reversal of 132040452529320 is 23925254040231.

It is a super-2 number, since 2×1320404525293202 (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 2945931 + ... + 16515429.

It is an arithmetic number, because the mean of its divisors is an integer number (3123359662500).

Almost surely, 2132040452529320 is an apocalyptic number.

132040452529320 is a gapful number since it is divisible by the number (10) 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 132040452529320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199895018400000).

132040452529320 is an abundant number, since it is smaller than the sum of its proper divisors (267749584270680).

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

132040452529320 is a wasteful number, since it uses less digits than its factorization.

132040452529320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13570263 (or 13570259 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 132040452529320 in words is "one hundred thirty-two trillion, forty billion, four hundred fifty-two million, five hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 619 655 786 1048 1238 1310 1572 1857 1965 2476 2620 3095 3144 3714 3930 4952 5240 6190 7428 7860 9285 12380 14856 15720 18570 24760 37140 74280 81089 162178 243267 324356 405445 486534 648712 810890 973068 1216335 1621780 1946136 2432670 3243560 4865340 9730680 13569499 27138998 40708497 54277996 67847495 81416994 108555992 135694990 162833988 203542485 271389980 325667976 407084970 542779960 814169940 1628339880 1777604369 3555208738 5332813107 7110417476 8399519881 8888021845 10665626214 14220834952 16799039762 17776043690 21331252428 25198559643 26664065535 33598079524 35552087380 41997599405 42662504856 50397119286 53328131070 67196159048 71104174760 83995198810 100794238572 106656262140 125992798215 167990397620 201588477144 213312524280 251985596430 335980795240 503971192860 1007942385720 1100337104411 2200674208822 3301011313233 4401348417644 5501685522055 6602022626466 8802696835288 11003371044110 13204045252932 16505056566165 22006742088220 26408090505864 33010113132330 44013484176440 66020226264660 132040452529320