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141034432636140 = 2235151145920535197
BaseRepresentation
bin100000000100010100100011…
…010000100010010011101100
3200111100202112002202010010020
4200010110203100202103230
5121441202004223324030
61215542153544242140
741464254500440311
oct4004244320422354
9614322462663106
10141034432636140
1140a3540451031a
1213999502170350
13609064a4c0144
1426b8162750d08
151148968ab0510
hex8045234224ec

141034432636140 has 192 divisors, whose sum is σ = 398054410091520. Its totient is φ = 37309142246400.

The previous prime is 141034432636121. The next prime is 141034432636151. The reversal of 141034432636140 is 41636234430141.

It is a super-2 number, since 2×1410344326361402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141034432636092 and 141034432636101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27137660022 + ... + 27137665218.

It is an arithmetic number, because the mean of its divisors is an integer number (2073200052560).

Almost surely, 2141034432636140 is an apocalyptic number.

141034432636140 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 141034432636140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199027205045760).

141034432636140 is an abundant number, since it is smaller than the sum of its proper divisors (257019977455380).

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

141034432636140 is a wasteful number, since it uses less digits than its factorization.

141034432636140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 141034432636140 in words is "one hundred forty-one trillion, thirty-four billion, four hundred thirty-two million, six hundred thirty-six thousand, one hundred forty".