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141506040 = 23351390709
BaseRepresentation
bin10000110111100…
…11010111111000
3100212021020210110
420123303113320
5242211143130
622012544320
73335532024
oct1033632770
9325236713
10141506040
1172970645
123b4820a0
13234169b0
1414b17384
15c652ab0
hex86f35f8

141506040 has 64 divisors (see below), whose sum is σ = 457178400. Its totient is φ = 34831872.

The previous prime is 141506039. The next prime is 141506059. The reversal of 141506040 is 40605141.

It is a junction number, because it is equal to n+sod(n) for n = 141505998 and 141506016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43795 + ... + 46914.

Almost surely, 2141506040 is an apocalyptic number.

141506040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141506040 is an abundant number, since it is smaller than the sum of its proper divisors (315672360).

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

141506040 is a wasteful number, since it uses less digits than its factorization.

141506040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90736 (or 90732 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 141506040 is about 11895.6311307976. The cubic root of 141506040 is about 521.1047027582.

The spelling of 141506040 in words is "one hundred forty-one million, five hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 90709 181418 272127 362836 453545 544254 725672 907090 1088508 1179217 1360635 1814180 2177016 2358434 2721270 3537651 3628360 4716868 5442540 5896085 7075302 9433736 10885080 11792170 14150604 17688255 23584340 28301208 35376510 47168680 70753020 141506040