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141302599680 = 2123511283229
BaseRepresentation
bin1000001110011001001…
…0101001000000000000
3111111201121202210120210
42003212102221000000
54303341431142210
6144525153034120
713131416165004
oct2034622510000
9444647683523
10141302599680
1154a206a7600
1223475b55940
131042b6ca338
146ba6628704
153a20276e20
hex20e64a9000

141302599680 has 624 divisors, whose sum is σ = 505134383040. Its totient is φ = 33694679040.

The previous prime is 141302599621. The next prime is 141302599699. The reversal of 141302599680 is 86995203141.

It is a super-2 number, since 2×1413025996802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617041806 + ... + 617042034.

Almost surely, 2141302599680 is an apocalyptic number.

141302599680 is a gapful number since it is divisible by the number (10) 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 141302599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252567191520).

141302599680 is an abundant number, since it is smaller than the sum of its proper divisors (363831783360).

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

141302599680 is a wasteful number, since it uses less digits than its factorization.

141302599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 141302599680 in words is "one hundred forty-one billion, three hundred two million, five hundred ninety-nine thousand, six hundred eighty".