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141157760720 = 24513297132697
BaseRepresentation
bin1000001101110110101…
…0000111111011010000
3111111100112020012212212
42003131222013323100
54303042341320340
6144502540411252
713125010111664
oct2033552077320
9444315205785
10141157760720
115495696a989
1223435546b28
13104076b7602
146b912c48a4
153a126b6a65
hex20dda87ed0

141157760720 has 40 divisors (see below), whose sum is σ = 328218948744. Its totient is φ = 56458432512.

The previous prime is 141157760647. The next prime is 141157760741. The reversal of 141157760720 is 27067751141.

141157760720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22196232256 + 118961528464 = 148984^2 + 344908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1411577607202 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 997412 + ... + 1130108.

Almost surely, 2141157760720 is an apocalyptic number.

141157760720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141157760720 is an abundant number, since it is smaller than the sum of its proper divisors (187061188024).

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

141157760720 is a wasteful number, since it uses less digits than its factorization.

141157760720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146007 (or 146001 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 141157760720 in words is "one hundred forty-one billion, one hundred fifty-seven million, seven hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13297 26594 53188 66485 106376 132697 132970 212752 265394 265940 530788 531880 663485 1061576 1063760 1326970 2123152 2653940 5307880 10615760 1764472009 3528944018 7057888036 8822360045 14115776072 17644720090 28231552144 35289440180 70578880360 141157760720