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141264264540 = 223571754136571
BaseRepresentation
bin1000001110010000000…
…0011001110101011100
3111111121221122011122210
42003210000121311130
54303302122431130
6144521303240420
713130442302520
oct2034400316534
9444557564583
10141264264540
1154a00aa3873
1223465149110
1310423797519
146ba14c9d80
153a1bc035b0
hex20e4019d5c

141264264540 has 192 divisors, whose sum is σ = 479534404608. Its totient is φ = 30332620800.

The previous prime is 141264264539. The next prime is 141264264563. The reversal of 141264264540 is 45462462141.

It is a congruent number.

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, 3844455 + ... + 3881025.

It is an arithmetic number, because the mean of its divisors is an integer number (2497575024).

Almost surely, 2141264264540 is an apocalyptic number.

141264264540 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 141264264540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239767202304).

141264264540 is an abundant number, since it is smaller than the sum of its proper divisors (338270140068).

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

141264264540 is a wasteful number, since it uses less digits than its factorization.

141264264540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37148 (or 37146 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 141264264540 in words is "one hundred forty-one billion, two hundred sixty-four million, two hundred sixty-four thousand, five hundred forty".