Search a number
-
+
132402839472 = 243261113133391
BaseRepresentation
bin111101101001111010…
…0101111111110110000
3110122202101022010201100
41323103310233332300
54132130111330342
6140454112204400
712365031365151
oct1732364577660
9418671263640
10132402839472
1151173a50a82
12217b1539700
13c640945a37
1465a0667928
15369dc9ae4c
hex1ed3d2ffb0

132402839472 has 120 divisors (see below), whose sum is σ = 379954306368. Its totient is φ = 43026278400.

The previous prime is 132402839399. The next prime is 132402839473. The reversal of 132402839472 is 274938204231.

132402839472 is a `hidden beast` number, since 1 + 324 + 0 + 283 + 9 + 47 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (132402839473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925897 + ... + 1059287.

Almost surely, 2132402839472 is an apocalyptic number.

132402839472 is a gapful number since it is divisible by the number (12) 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 132402839472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189977153184).

132402839472 is an abundant number, since it is smaller than the sum of its proper divisors (247551466896).

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

132402839472 is a wasteful number, since it uses less digits than its factorization.

132402839472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133579 (or 133570 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 132402839472 in words is "one hundred thirty-two billion, four hundred two million, eight hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 113 122 144 183 226 244 339 366 452 488 549 678 732 904 976 1017 1098 1356 1464 1808 2034 2196 2712 2928 4068 4392 5424 6893 8136 8784 13786 16272 20679 27572 41358 55144 62037 82716 110288 124074 133391 165432 248148 266782 330864 400173 496296 533564 800346 992592 1067128 1200519 1600692 2134256 2401038 3201384 4802076 6402768 8136851 9604152 15073183 16273702 19208304 24410553 30146366 32547404 45219549 48821106 60292732 65094808 73231659 90439098 97642212 120585464 130189616 135658647 146463318 180878196 195284424 241170928 271317294 292926636 361756392 390568848 542634588 585853272 723512784 919464163 1085269176 1171706544 1838928326 2170538352 2758392489 3677856652 5516784978 7355713304 8275177467 11033569956 14711426608 16550354934 22067139912 33100709868 44134279824 66201419736 132402839472