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132723266214 = 23731145712829
BaseRepresentation
bin111101110011011101…
…1000101001010100110
3110200120201020111120110
41323212323011022212
54133304124004324
6140550000113450
712406002102000
oct1734673051246
9420521214513
10132723266214
1151318907370
1221880905886
13c692146266
1465d1037370
1536bbe92329
hex1ee6ec52a6

132723266214 has 128 divisors (see below), whose sum is σ = 338465664000. Its totient is φ = 34395459840.

The previous prime is 132723266213. The next prime is 132723266231. The reversal of 132723266214 is 412662327231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132723266213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10339152 + ... + 10351980.

It is an arithmetic number, because the mean of its divisors is an integer number (2644263000).

Almost surely, 2132723266214 is an apocalyptic number.

132723266214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132723266214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169232832000).

132723266214 is an abundant number, since it is smaller than the sum of its proper divisors (205742397786).

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

132723266214 is a wasteful number, since it uses less digits than its factorization.

132723266214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13323 (or 13309 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The spelling of 132723266214 in words is "one hundred thirty-two billion, seven hundred twenty-three million, two hundred sixty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 457 462 539 686 914 1029 1078 1371 1617 2058 2742 3199 3234 3773 5027 6398 7546 9597 10054 11319 12829 15081 19194 22393 22638 25658 30162 35189 38487 44786 67179 70378 76974 89803 105567 134358 141119 156751 179606 211134 246323 269409 282238 313502 423357 470253 492646 538818 628621 738969 846714 940506 987833 1257242 1477938 1724261 1885863 1975666 2963499 3448522 3771726 4400347 5172783 5862853 5926998 6914831 8800694 10345566 11725706 13201041 13829662 17588559 20744493 26402082 35177118 41039971 41488986 48403817 64491383 82079942 96807634 123119913 128982766 145211451 193474149 246239826 287279797 290422902 386948298 451439681 574559594 861839391 902879362 1354319043 1723678782 2010958579 2708638086 3160077767 4021917158 6032875737 6320155534 9480233301 12065751474 18960466602 22120544369 44241088738 66361633107 132723266214