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132044320421200 = 245211191579477517
BaseRepresentation
bin11110000001011111110110…
…110100000011010101010000
3122022112022110201112210221101
4132001133312310003111100
5114301403232011434300
61144500153503234144
736545613232445515
oct3601376664032520
9568468421483841
10132044320421200
1139089755542490
12129870a78a8954
13588a958cbb355
142486d9cd3b30c
15103eb984c7b6a
hex7817f6d03550

132044320421200 has 120 divisors (see below), whose sum is σ = 364290694751520. Its totient is φ = 45488952460800.

The previous prime is 132044320421179. The next prime is 132044320421203. The reversal of 132044320421200 is 2124023440231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132044320421203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789655159 + ... + 789822358.

It is an arithmetic number, because the mean of its divisors is an integer number (3035755789596).

Almost surely, 2132044320421200 is an apocalyptic number.

132044320421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132044320421200 is an abundant number, since it is smaller than the sum of its proper divisors (232246374330320).

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

132044320421200 is a wasteful number, since it uses less digits than its factorization.

132044320421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579477565 (or 1579477554 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132044320421200 its reverse (2124023440231), we get a palindrome (134168343861431).

The spelling of 132044320421200 in words is "one hundred thirty-two trillion, forty-four billion, three hundred twenty million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 83600 1579477517 3158955034 6317910068 7897387585 12635820136 15794775170 17374252687 25271640272 30010072823 31589550340 34748505374 39486937925 60020145646 63179100680 69497010748 78973875850 86871263435 120040291292 126358201360 138994021496 150050364115 157947751700 173742526870 240080582584 277988042992 300100728230 315895503400 330110801053 347485053740 434356317175 480161165168 600201456460 631791006800 660221602106 694970107480 750251820575 868712634350 1200402912920 1320443204212 1389940214960 1500503641150 1650554005265 1737425268700 2400805825840 2640886408424 3001007282300 3301108010530 3474850537400 5281772816848 6002014564600 6602216021060 6949701074800 8252770026325 12004029129200 13204432042120 16505540052650 26408864084240 33011080105300 66022160210600 132044320421200