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132144402022020 = 223251439510170651
BaseRepresentation
bin11110000010111101000100…
…001001000011111010000100
3122022212212210120201220110200
4132002331010021003322010
5114310023213404201040
61145014144503250500
736556055320145343
oct3602750411037204
9568785716656420
10132144402022020
1139118142a42483
12129a2578a49a30
13589721869b9ab
14248bb74b5db5a
1510425a4980630
hex782f44243e84

132144402022020 has 72 divisors (see below), whose sum is σ = 401116573428480. Its totient is φ = 35214018945600.

The previous prime is 132144402021991. The next prime is 132144402022021. The reversal of 132144402022020 is 20220204441231.

It is a happy number.

132144402022020 is a `hidden beast` number, since 1 + 3 + 2 + 14 + 4 + 402 + 0 + 220 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (132144402022021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254826306 + ... + 255344345.

It is an arithmetic number, because the mean of its divisors is an integer number (5571063519840).

Almost surely, 2132144402022020 is an apocalyptic number.

132144402022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132144402022020 is an abundant number, since it is smaller than the sum of its proper divisors (268972171406460).

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

132144402022020 is a wasteful number, since it uses less digits than its factorization.

132144402022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510172105 (or 510172100 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 132144402022020 its reverse (20220204441231), we get a palindrome (152364606463251).

The spelling of 132144402022020 in words is "one hundred thirty-two trillion, one hundred forty-four billion, four hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1439 2878 4317 5756 7195 8634 12951 14390 17268 21585 25902 28780 43170 51804 64755 86340 129510 259020 510170651 1020341302 1530511953 2040682604 2550853255 3061023906 4591535859 5101706510 6122047812 7652559765 9183071718 10203413020 15305119530 18366143436 22957679295 30610239060 45915358590 91830717180 734135566789 1468271133578 2202406700367 2936542267156 3670677833945 4404813400734 6607220101101 7341355667890 8809626801468 11012033501835 13214440202202 14682711335780 22024067003670 26428880404404 33036100505505 44048134007340 66072201011010 132144402022020