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141645040 = 2452323347
BaseRepresentation
bin10000111000101…
…01010011110000
3100212112022110121
420130111103300
5242230120130
622015540024
73336651205
oct1034252360
9325468417
10141645040
1172a56019
123b52a614
1323465044
1414b51cac
15c67dd7a
hex87154f0

141645040 has 60 divisors (see below), whose sum is σ = 344368584. Its totient is φ = 54178432.

The previous prime is 141645011. The next prime is 141645041. The reversal of 141645040 is 40546141.

It is a junction number, because it is equal to n+sod(n) for n = 141644996 and 141645014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141645041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40647 + ... + 43993.

Almost surely, 2141645040 is an apocalyptic number.

141645040 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 141645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172184292).

141645040 is an abundant number, since it is smaller than the sum of its proper divisors (202723544).

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

141645040 is a wasteful number, since it uses less digits than its factorization.

141645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 141645040 is about 11901.4721778442. The cubic root of 141645040 is about 521.2752722729.

The spelling of 141645040 in words is "one hundred forty-one million, six hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 529 920 1058 1840 2116 2645 3347 4232 5290 6694 8464 10580 13388 16735 21160 26776 33470 42320 53552 66940 76981 133880 153962 267760 307924 384905 615848 769810 1231696 1539620 1770563 3079240 3541126 6158480 7082252 8852815 14164504 17705630 28329008 35411260 70822520 141645040