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141674311680 = 21235112171959
BaseRepresentation
bin1000001111110001110…
…0100111000000000000
3111112200112012201120220
42003330130213000000
54310122110433210
6145030112103040
713143551531316
oct2037434470000
9445615181526
10141674311680
11550a1501300
122355a534a80
131048a715c75
146bddb480b6
153a42bedc70
hex20fc727000

141674311680 has 1248 divisors, whose sum is σ = 564746515200. Its totient is φ = 30104616960.

The previous prime is 141674311589. The next prime is 141674311717. The reversal of 141674311680 is 86113476141.

It is a happy number.

It is a super-2 number, since 2×1416743116802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2401259491 + ... + 2401259549.

Almost surely, 2141674311680 is an apocalyptic number.

141674311680 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 141674311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282373257600).

141674311680 is an abundant number, since it is smaller than the sum of its proper divisors (423072203520).

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

141674311680 is a wasteful number, since it uses less digits than its factorization.

141674311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

It can be divided in two parts, 141674 and 311680, that added together give a palindrome (453354).

The spelling of 141674311680 in words is "one hundred forty-one billion, six hundred seventy-four million, three hundred eleven thousand, six hundred eighty".