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132340312565120 = 2751140146878653
BaseRepresentation
bin11110000101110011100001…
…010100011110010110000000
3122100120121110220222122201102
4132011303201110132112000
5114321230430004040440
61145244144510153532
736606162213244442
oct3605634124362600
9570517426878642
10132340312565120
113919323637a130
1212a14532ab28a8
1358ac83a6a778a
14249743ba82492
15104771ddadb15
hex785ce151e580

132340312565120 has 128 divisors (see below), whose sum is σ = 345998219150880. Its totient is φ = 48003739648000.

The previous prime is 132340312565117. The next prime is 132340312565161. The reversal of 132340312565120 is 21565213043231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1323403125651202 (a number of 29 digits) contains 22 as substring.

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, 20616287 + ... + 26262366.

Almost surely, 2132340312565120 is an apocalyptic number.

132340312565120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132340312565120 is an abundant number, since it is smaller than the sum of its proper divisors (213657906585760).

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

132340312565120 is a wasteful number, since it uses less digits than its factorization.

132340312565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46879084 (or 46879072 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 132340312565120 in words is "one hundred thirty-two trillion, three hundred forty billion, three hundred twelve million, five hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 401 440 640 704 802 880 1408 1604 1760 2005 3208 3520 4010 4411 6416 7040 8020 8822 12832 16040 17644 22055 25664 32080 35288 44110 51328 64160 70576 88220 128320 141152 176440 256640 282304 352880 564608 705760 1411520 2823040 46878653 93757306 187514612 234393265 375029224 468786530 515665183 750058448 937573060 1031330366 1500116896 1875146120 2062660732 2578325915 3000233792 3750292240 4125321464 5156651830 6000467584 7500584480 8250642928 10313303660 15001168960 16501285856 18798339853 20626607320 30002337920 33002571712 37596679706 41253214640 66005143424 75193359412 82506429280 93991699265 150386718824 165012858560 187983398530 206781738383 300773437648 330025717120 375966797060 413563476766 601546875296 751933594120 827126953532 1033908691915 1203093750592 1503867188240 1654253907064 2067817383830 2406187501184 3007734376480 3308507814128 4135634767660 6015468752960 6617015628256 8271269535320 12030937505920 13234031256512 16542539070640 26468062513024 33085078141280 66170156282560 132340312565120