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141050880 = 2103253061
BaseRepresentation
bin10000110100001…
…00010000000000
3100211102010102200
420122010100000
5242102112010
621555113200
73331625025
oct1032042000
9324363380
10141050880
117268a683
123b2a2800
13232b7779
1414a3954c
15c5b2cc0
hex8684400

141050880 has 132 divisors (see below), whose sum is σ = 488897292. Its totient is φ = 37601280.

The previous prime is 141050873. The next prime is 141050891. The reversal of 141050880 is 88050141.

It can be written as a sum of positive squares in 2 ways, for example, as 99680256 + 41370624 = 9984^2 + 6432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44550 + ... + 47610.

Almost surely, 2141050880 is an apocalyptic number.

141050880 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 141050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244448646).

141050880 is an abundant number, since it is smaller than the sum of its proper divisors (347846412).

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

141050880 is a wasteful number, since it uses less digits than its factorization.

141050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 141050880 is about 11876.4843282850. The cubic root of 141050880 is about 520.5453843996.

The spelling of 141050880 in words is "one hundred forty-one million, fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3061 3072 3840 4608 5120 5760 6122 7680 9183 9216 11520 12244 15305 15360 18366 23040 24488 27549 30610 36732 45915 46080 48976 55098 61220 73464 91830 97952 110196 122440 137745 146928 183660 195904 220392 244880 275490 293856 367320 391808 440784 489760 550980 587712 734640 783616 881568 979520 1101960 1175424 1469280 1567232 1763136 1959040 2203920 2350848 2938560 3134464 3526272 3918080 4407840 4701696 5877120 7052544 7836160 8815680 9403392 11754240 14105088 15672320 17631360 23508480 28210176 35262720 47016960 70525440 141050880