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141082076330664 = 2337192931210931451
BaseRepresentation
bin100000000101000000111011…
…000010110011101010101000
3200111112022111110202120021220
4200011000323002303222220
5121442442043020040124
61220020113334102040
741500562241242640
oct4005007302635250
9614468443676256
10141082076330664
1140a536330a5177
12139a6799aaa920
136094ca1032571
1426ba5a2157520
151149d06660879
hex80503b0b3aa8

141082076330664 has 768 divisors, whose sum is σ = 454282152192000. Its totient is φ = 35624219904000.

The previous prime is 141082076330639. The next prime is 141082076330747. The reversal of 141082076330664 is 466033670280141.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97230927139 + ... + 97230928589.

It is an arithmetic number, because the mean of its divisors is an integer number (591513219000).

Almost surely, 2141082076330664 is an apocalyptic number.

141082076330664 is a gapful number since it is divisible by the number (14) 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 141082076330664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227141076096000).

141082076330664 is an abundant number, since it is smaller than the sum of its proper divisors (313200075861336).

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

141082076330664 is a wasteful number, since it uses less digits than its factorization.

141082076330664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 141082076330664 in words is "one hundred forty-one trillion, eighty-two billion, seventy-six million, three hundred thirty thousand, six hundred sixty-four".