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132021205052040 = 23325614359698123
BaseRepresentation
bin11110000001001010010101…
…000001111010101010001000
3122022110002210202220101121200
4132001022111001322222020
5114301013411443131130
61144441412044504200
736544134351162633
oct3601122501725210
9568402722811550
10132021205052040
113907a973514507
121298271654b060
135888714067015
142485c08dbac1a
15103e293ec9760
hex78129507aa88

132021205052040 has 96 divisors (see below), whose sum is σ = 429138770411520. Its totient is φ = 35199923071104.

The previous prime is 132021205052017. The next prime is 132021205052059. The reversal of 132021205052040 is 40250502120231.

132021205052040 is a `hidden beast` number, since 1 + 32 + 0 + 2 + 1 + 20 + 50 + 520 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132021205051995 and 132021205052013.

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 23 ways as a sum of consecutive naturals, for example, 27637582 + ... + 32060541.

It is an arithmetic number, because the mean of its divisors is an integer number (4470195525120).

Almost surely, 2132021205052040 is an apocalyptic number.

132021205052040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132021205052040 is an abundant number, since it is smaller than the sum of its proper divisors (297117565359480).

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

132021205052040 is a wasteful number, since it uses less digits than its factorization.

132021205052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59704283 (or 59704276 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 132021205052040 its reverse (40250502120231), we get a palindrome (172271707172271).

The spelling of 132021205052040 in words is "one hundred thirty-two trillion, twenty-one billion, two hundred five million, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6143 12286 18429 24572 30715 36858 49144 55287 61430 73716 92145 110574 122860 147432 184290 221148 245720 276435 368580 442296 552870 737160 1105740 2211480 59698123 119396246 179094369 238792492 298490615 358188738 477584984 537283107 596981230 716377476 895471845 1074566214 1193962460 1432754952 1790943690 2149132428 2387924920 2686415535 3581887380 4298264856 5372831070 7163774760 10745662140 21491324280 366725569589 733451139178 1100176708767 1466902278356 1833627847945 2200353417534 2933804556712 3300530126301 3667255695890 4400706835068 5500883543835 6601060252602 7334511391780 8801413670136 11001767087670 13202120505204 14669022783560 16502650631505 22003534175340 26404241010408 33005301263010 44007068350680 66010602526020 132021205052040