Search a number
-
+
132314154142512 = 243232812903146921
BaseRepresentation
bin11110000101011011001010…
…001010000000101100110000
3122100111002221220022002211110
4132011123022022000230300
5114320313341430030022
61145224141104313320
736604245041312616
oct3605331212005460
9570432856262743
10132314154142512
1139183132655051
1212a0b452612840
1358aa22c1765c4
14249607990d6b6
151046bdc66500c
hex7856ca280b30

132314154142512 has 160 divisors (see below), whose sum is σ = 358067973897216. Its totient is φ = 42022222950400.

The previous prime is 132314154142507. The next prime is 132314154142519. The reversal of 132314154142512 is 215241451413231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132314154142519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900506812 + ... + 900653732.

Almost surely, 2132314154142512 is an apocalyptic number.

132314154142512 is a gapful number since it is divisible by the number (12) 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 132314154142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179033986948608).

132314154142512 is an abundant number, since it is smaller than the sum of its proper divisors (225753819754704).

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

132314154142512 is a wasteful number, since it uses less digits than its factorization.

132314154142512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150139 (or 150133 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The spelling of 132314154142512 in words is "one hundred thirty-two trillion, three hundred fourteen billion, one hundred fifty-four million, one hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 281 368 552 562 843 1104 1124 1686 2248 2903 3372 4496 5806 6463 6744 8709 11612 12926 13488 17418 19389 23224 25852 34836 38778 46448 51704 66769 69672 77556 103408 133538 139344 146921 155112 200307 267076 293842 310224 400614 440763 534152 587684 801228 815743 881526 1068304 1175368 1602456 1631486 1763052 2350736 2447229 3204912 3262972 3379183 3526104 4894458 6525944 6758366 7052208 9788916 10137549 13051888 13516732 18762089 19577832 20275098 27033464 37524178 39155664 40550196 41284801 54066928 56286267 75048356 81100392 82569602 112572534 123854403 150096712 162200784 165139204 225145068 247708806 300193424 330278408 426511663 450290136 495417612 660556816 853023326 900580272 949550423 990835224 1279534989 1706046652 1899100846 1981670448 2559069978 2848651269 3412093304 3798201692 5118139956 5697302538 6824186608 7596403384 9809768249 10236279912 11394605076 15192806768 19619536498 20472559824 22789210152 29429304747 39239072996 45578420304 58858609494 78478145992 117717218988 119849777303 156956291984 235434437976 239699554606 359549331909 470868875952 479399109212 719098663818 958798218424 1438197327636 1917596436848 2756544877969 2876394655272 5513089755938 5752789310544 8269634633907 11026179511876 16539269267814 22052359023752 33078538535628 44104718047504 66157077071256 132314154142512