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112432133040 = 24351033345337
BaseRepresentation
bin110100010110101111…
…0100011001110110000
3101202012120220010200120
41220231132203032300
53320230111224130
6123352310450240
711060113235223
oct1505536431660
9352176803616
10112432133040
114375600a717
1219959363980
13a7aa356696
1456282095ba
152dd08b9910
hex1a2d7a33b0

112432133040 has 80 divisors (see below), whose sum is σ = 348581031648. Its totient is φ = 29978339328.

The previous prime is 112432133039. The next prime is 112432133057. The reversal of 112432133040 is 40331234211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112432133040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2457252 + ... + 2502588.

Almost surely, 2112432133040 is an apocalyptic number.

112432133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112432133040 is an abundant number, since it is smaller than the sum of its proper divisors (236148898608).

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

112432133040 is a wasteful number, since it uses less digits than its factorization.

112432133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55686 (or 55680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112432133040 its reverse (40331234211), we get a palindrome (152763367251).

The spelling of 112432133040 in words is "one hundred twelve billion, four hundred thirty-two million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10333 20666 30999 41332 45337 51665 61998 82664 90674 103330 123996 136011 154995 165328 181348 206660 226685 247992 272022 309990 362696 413320 453370 495984 544044 619980 680055 725392 826640 906740 1088088 1239960 1360110 1813480 2176176 2479920 2720220 3626960 5440440 10880880 468467221 936934442 1405401663 1873868884 2342336105 2810803326 3747737768 4684672210 5621606652 7027008315 7495475536 9369344420 11243213304 14054016630 18738688840 22486426608 28108033260 37477377680 56216066520 112432133040