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141131980752 = 24371667251971
BaseRepresentation
bin1000001101110000011…
…1110001111111010000
3111111021201201110102020
42003130013301333100
54303014241341002
6144500220051440
713124245020510
oct2033407617720
9444251643366
10141131980752
1154943362024
1223428993b80
131040225c3a9
146b8bad3840
153a102c32bc
hex20dc1f1fd0

141131980752 has 80 divisors (see below), whose sum is σ = 416926981632. Its totient is φ = 40299073920.

The previous prime is 141131980739. The next prime is 141131980831. The reversal of 141131980752 is 257089131141.

141131980752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1411319807523 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 434127 + ... + 686097.

Almost surely, 2141131980752 is an apocalyptic number.

141131980752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141131980752 is an abundant number, since it is smaller than the sum of its proper divisors (275795000880).

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

141131980752 is a wasteful number, since it uses less digits than its factorization.

141131980752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253656 (or 253650 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 141131980752 in words is "one hundred forty-one billion, one hundred thirty-one million, nine hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1667 3334 5001 6668 10002 11669 13336 20004 23338 26672 35007 40008 46676 70014 80016 93352 140028 186704 251971 280056 503942 560112 755913 1007884 1511826 1763797 2015768 3023652 3527594 4031536 5291391 6047304 7055188 10582782 12094608 14110376 21165564 28220752 42331128 84662256 420035657 840071314 1260106971 1680142628 2520213942 2940249599 3360285256 5040427884 5880499198 6720570512 8820748797 10080855768 11760998396 17641497594 20161711536 23521996792 35282995188 47043993584 70565990376 141131980752