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4032133140 = 2235779121523
BaseRepresentation
bin1111000001010101…
…0111100000010100
3101102000011120211110
43300111113200110
531224211230030
61504034335020
7201630365130
oct36025274024
911360146743
104032133140
11178a041342
1294642a470
134c34925c9
142a371a3c0
15188ec11b0
hexf0557814

4032133140 has 96 divisors (see below), whose sum is σ = 13066260480. Its totient is φ = 909956736.

The previous prime is 4032133129. The next prime is 4032133169. The reversal of 4032133140 is 413312304.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27582 + ... + 93941.

It is an arithmetic number, because the mean of its divisors is an integer number (136106880).

Almost surely, 24032133140 is an apocalyptic number.

It is an amenable number.

4032133140 is an abundant number, since it is smaller than the sum of its proper divisors (9034127340).

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

4032133140 is a wasteful number, since it uses less digits than its factorization.

4032133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121621 (or 121619 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4032133140 is about 63499.0798358527. The cubic root of 4032133140 is about 1591.6404018704.

Adding to 4032133140 its reverse (413312304), we get a palindrome (4445445444).

The spelling of 4032133140 in words is "four billion, thirty-two million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 158 210 237 316 395 420 474 553 790 948 1106 1185 1580 1659 2212 2370 2765 3318 4740 5530 6636 8295 11060 16590 33180 121523 243046 364569 486092 607615 729138 850661 1215230 1458276 1701322 1822845 2430460 2551983 3402644 3645690 4253305 5103966 7291380 8506610 9600317 10207932 12759915 17013220 19200634 25519830 28800951 38401268 48001585 51039660 57601902 67202219 96003170 115203804 134404438 144004755 192006340 201606657 268808876 288009510 336011095 403213314 576019020 672022190 806426628 1008033285 1344044380 2016066570 4032133140