Search a number
-
+
132150454414032 = 24347949931673637
BaseRepresentation
bin11110000011000010101100…
…111001000110101011010000
3122022220110102101101021110210
4132003002230321012223100
5114310123112312222112
61145021025231124120
736556361311503165
oct3603025471065320
9568813371337423
10132150454414032
113911a7693a814a
12129a3787973640
13589797157c842
14248c18a8ca06c
15104280aeb6b3c
hex7830ace46ad0

132150454414032 has 160 divisors (see below), whose sum is σ = 342989475840000. Its totient is φ = 43844185557504.

The previous prime is 132150454414031. The next prime is 132150454414039. The reversal of 132150454414032 is 230414454051231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132150454414031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36335014518 + ... + 36335018154.

It is an arithmetic number, because the mean of its divisors is an integer number (2143684224000).

Almost surely, 2132150454414032 is an apocalyptic number.

132150454414032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132150454414032 is an abundant number, since it is smaller than the sum of its proper divisors (210839021425968).

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

132150454414032 is a wasteful number, since it uses less digits than its factorization.

132150454414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 132150454414032 in words is "one hundred thirty-two trillion, one hundred fifty billion, four hundred fifty-four million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 499 958 998 1437 1497 1916 1996 2874 2994 3167 3637 3832 3992 5748 5988 6334 7274 7664 7984 9501 10911 11496 11976 12668 14548 19002 21822 22992 23952 25336 29096 38004 43644 50672 58192 76008 87288 152016 174576 239021 478042 717063 956084 1434126 1516993 1580333 1742123 1814863 1912168 2868252 3033986 3160666 3484246 3629726 3824336 4550979 4740999 5226369 5444589 5736504 6067972 6321332 6968492 7259452 9101958 9481998 10452738 10889178 11473008 11518379 12135944 12642664 13936984 14518904 18203916 18963996 20905476 21778356 23036758 24271888 25285328 27873968 29037808 34555137 36407832 37927992 41810952 43556712 46073516 69110274 72815664 75855984 83621904 87113424 92147032 138220548 184294064 276441096 552882192 756979507 869319377 1513959014 1738638754 2270938521 2607958131 3027918028 3477277508 4541877042 5215916262 5517303541 5747671121 6055836056 6954555016 9083754084 10431832524 11034607082 11495342242 12111672112 13909110032 16551910623 17243013363 18167508168 20863665048 22069214164 22990684484 33103821246 34486026726 36335016336 41727330096 44138428328 45981368968 66207642492 68972053452 88276856656 91962737936 132415284984 137944106904 264830569968 275888213808 2753134466959 5506268933918 8259403400877 11012537867836 16518806801754 22025075735672 33037613603508 44050151471344 66075227207016 132150454414032