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133132230240 = 2535299564097
BaseRepresentation
bin111101111111101001…
…1001001111001100000
3110201122012210000202020
41323333103021321200
54140123322331430
6141054325421440
712422066166642
oct1737723117140
9421565700666
10133132230240
1151508745069
122197586a880
13c728aa59c9
14662d492892
1536e2d26b10
hex1eff4c9e60

133132230240 has 96 divisors (see below), whose sum is σ = 433827485280. Its totient is φ = 34277720064.

The previous prime is 133132230233. The next prime is 133132230281. The reversal of 133132230240 is 42032231331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133132230240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4768129 + ... + 4795968.

It is an arithmetic number, because the mean of its divisors is an integer number (4519036305).

Almost surely, 2133132230240 is an apocalyptic number.

133132230240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133132230240 is an abundant number, since it is smaller than the sum of its proper divisors (300695255040).

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

133132230240 is a wasteful number, since it uses less digits than its factorization.

133132230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564144 (or 9564136 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133132230240 its reverse (42032231331), we get a palindrome (175164461571).

The spelling of 133132230240 in words is "one hundred thirty-three billion, one hundred thirty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 9564097 19128194 28692291 38256388 47820485 57384582 76512776 95640970 114769164 143461455 153025552 191281940 229538328 277358813 286922910 306051104 382563880 459076656 554717626 573845820 765127760 832076439 918153312 1109435252 1147691640 1386794065 1530255520 1664152878 2218870504 2295383280 2773588130 3328305756 4160382195 4437741008 4590766560 5547176260 6656611512 8320764390 8875482016 11094352520 13313223024 16641528780 22188705040 26626446048 33283057560 44377410080 66566115120 133132230240