Search a number
-
+
75142741140 = 223251393003307
BaseRepresentation
bin100010111111011011…
…0110011110010010100
321011221211022202110200
41011332312303302110
52212343020204030
654304201420500
75300051522025
oct1057666636224
9234854282420
1075142741140
1129960133665
121269119a730
137116a3314c
1438cba32c4c
151e4bd60d60
hex117edb3c94

75142741140 has 72 divisors (see below), whose sum is σ = 229572863520. Its totient is φ = 19893898944.

The previous prime is 75142741133. The next prime is 75142741159. The reversal of 75142741140 is 4114724157.

75142741140 is a `hidden beast` number, since 7 + 51 + 427 + 41 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75142741095 and 75142741104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476634 + ... + 1526673.

Almost surely, 275142741140 is an apocalyptic number.

It is an amenable number.

75142741140 is an abundant number, since it is smaller than the sum of its proper divisors (154430122380).

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

75142741140 is a wasteful number, since it uses less digits than its factorization.

75142741140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003461 (or 3003456 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 75142741140 in words is "seventy-five billion, one hundred forty-two million, seven hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 12510 25020 3003307 6006614 9009921 12013228 15016535 18019842 27029763 30033070 36039684 45049605 54059526 60066140 90099210 108119052 135148815 180198420 270297630 417459673 540595260 834919346 1252379019 1669838692 2087298365 2504758038 3757137057 4174596730 5009516076 6261895095 7514274114 8349193460 12523790190 15028548228 18785685285 25047580380 37571370570 75142741140