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132169398144 = 273727024309
BaseRepresentation
bin111101100010111101…
…0001111011110000000
3110122011010001002102020
41323011322033132000
54131140331220034
6140415012521440
712356165230200
oct1730572173600
9418133032366
10132169398144
11510641a8063
1221747320280
13c604480284
14657b65c400
153688538249
hex1ec5e8f780

132169398144 has 96 divisors (see below), whose sum is σ = 408393383400. Its totient is φ = 37762679808.

The previous prime is 132169398043. The next prime is 132169398157. The reversal of 132169398144 is 441893961231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3493339 + ... + 3530970.

Almost surely, 2132169398144 is an apocalyptic number.

132169398144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132169398144 is an abundant number, since it is smaller than the sum of its proper divisors (276223985256).

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

132169398144 is an equidigital number, since it uses as much as digits as its factorization.

132169398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7024340 (or 7024321 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The spelling of 132169398144 in words is "one hundred thirty-two billion, one hundred sixty-nine million, three hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 7024309 14048618 21072927 28097236 42145854 49170163 56194472 84291708 98340326 112388944 147510489 168583416 196680652 224777888 295020978 337166832 344191141 393361304 449555776 590041956 674333664 688382282 786722608 899111552 1032573423 1180083912 1348667328 1376764564 1573445216 2065146846 2360167824 2697334656 2753529128 3146890432 4130293692 4720335648 5507058256 6293780864 8260587384 9440671296 11014116512 16521174768 18881342592 22028233024 33042349536 44056466048 66084699072 132169398144