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141133488 = 24329531913
BaseRepresentation
bin10000110100110…
…00011010110000
3100211120022202020
420122120122300
5242112232423
622000551440
73332420616
oct1032303260
9324508666
10141133488
1172736751
123b322580
1323316252
1414a5b6b6
15c5cc4e3
hex86986b0

141133488 has 80 divisors (see below), whose sum is σ = 384484320. Its totient is φ = 44541952.

The previous prime is 141133477. The next prime is 141133493. The reversal of 141133488 is 884331141.

It is a super-2 number, since 2×1411334882 = 39837322870092288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72820 + ... + 74732.

It is an arithmetic number, because the mean of its divisors is an integer number (4806054).

Almost surely, 2141133488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141133488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192242160).

141133488 is an abundant number, since it is smaller than the sum of its proper divisors (243350832).

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

141133488 is a wasteful number, since it uses less digits than its factorization.

141133488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 141133488 is about 11879.9616160996. The cubic root of 141133488 is about 520.6469856117.

The spelling of 141133488 in words is "one hundred forty-one million, one hundred thirty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 53 58 87 106 116 159 174 212 232 318 348 424 464 636 696 848 1272 1392 1537 1913 2544 3074 3826 4611 5739 6148 7652 9222 11478 12296 15304 18444 22956 24592 30608 36888 45912 55477 73776 91824 101389 110954 166431 202778 221908 304167 332862 405556 443816 608334 665724 811112 887632 1216668 1331448 1622224 2433336 2662896 2940281 4866672 5880562 8820843 11761124 17641686 23522248 35283372 47044496 70566744 141133488