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132326364464040 = 23351797607809839
BaseRepresentation
bin11110000101100110100001…
…111100101100001110101000
3122100112021110212011201002010
4132011212201330230032220
5114321013343300322130
61145233520450035520
736605156445322635
oct3605464174541650
9570467425151063
10132326364464040
1139188328aa936a
1212a1189b878ba0
1358ab426a6a426
1424968b743918c
1510471a45cd0b0
hex7859a1f2c3a8

132326364464040 has 128 divisors (see below), whose sum is σ = 399249824256000. Its totient is φ = 35085240108288.

The previous prime is 132326364463991. The next prime is 132326364464059. The reversal of 132326364464040 is 40464463623231.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 162993441 + ... + 163803279.

It is an arithmetic number, because the mean of its divisors is an integer number (3119139252000).

Almost surely, 2132326364464040 is an apocalyptic number.

132326364464040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132326364464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199624912128000).

132326364464040 is an abundant number, since it is smaller than the sum of its proper divisors (266923459791960).

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

132326364464040 is a wasteful number, since it uses less digits than its factorization.

132326364464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817639 (or 817635 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 48.

The spelling of 132326364464040 in words is "one hundred thirty-two trillion, three hundred twenty-six billion, three hundred sixty-four million, four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 7607 10740 15214 21480 22821 30428 38035 45642 60856 76070 91284 114105 152140 182568 228210 304280 456420 809839 912840 1361653 1619678 2429517 2723306 3239356 4049195 4084959 4859034 5446612 6478712 6808265 8098390 8169918 9718068 10893224 12147585 13616530 16196780 16339836 19436136 20424795 24295170 27233060 32393560 32679672 40849590 48590340 54466120 81699180 97180680 144961181 163398360 289922362 434883543 579844724 724805905 869767086 1159689448 1449611810 1739534172 2174417715 2899223620 3479068344 4348835430 5798447240 6160445273 8697670860 12320890546 17395341720 18481335819 24641781092 30802226365 36962671638 49283562184 61604452730 73925343276 92406679095 123208905460 147850686552 184813358190 246417810920 369626716380 739253432760 1102719703867 2205439407734 3308159111601 4410878815468 5513598519335 6616318223202 8821757630936 11027197038670 13232636446404 16540795558005 22054394077340 26465272892808 33081591116010 44108788154680 66163182232020 132326364464040