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113232431040 = 2635382130869
BaseRepresentation
bin110100101110100101…
…1011100011111000000
3101211021100210111011020
41221131023130133000
53323400000243130
6124003535545440
711116001532441
oct1513513343700
9354240714136
10113232431040
1144026834423
1219b4138b280
13a8a70b20b1
1456a26112c8
152e2ac9ee10
hex1a5d2dc7c0

113232431040 has 112 divisors (see below), whose sum is σ = 359618706720. Its totient is φ = 30186434560.

The previous prime is 113232431017. The next prime is 113232431041. The reversal of 113232431040 is 40134232311.

It is a happy number.

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 113232431040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113232431041) by changing a digit.

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, 3652726 + ... + 3683594.

It is an arithmetic number, because the mean of its divisors is an integer number (3210881310).

Almost surely, 2113232431040 is an apocalyptic number.

113232431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113232431040 is an abundant number, since it is smaller than the sum of its proper divisors (246386275680).

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

113232431040 is a wasteful number, since it uses less digits than its factorization.

113232431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34710 (or 34700 counting only the distinct ones).

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

Adding to 113232431040 its reverse (40134232311), we get a palindrome (153366663351).

The spelling of 113232431040 in words is "one hundred thirteen billion, two hundred thirty-two million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3821 7642 11463 15284 19105 22926 30568 30869 38210 45852 57315 61136 61738 76420 91704 92607 114630 122272 123476 152840 154345 183408 185214 229260 244544 246952 305680 308690 366816 370428 458520 463035 493904 611360 617380 733632 740856 917040 926070 987808 1222720 1234760 1481712 1834080 1852140 1975616 2469520 2963424 3668160 3704280 4939040 5926848 7408560 9878080 14817120 29634240 117950449 235900898 353851347 471801796 589752245 707702694 943603592 1179504490 1415405388 1769256735 1887207184 2359008980 2830810776 3538513470 3774414368 4718017960 5661621552 7077026940 7548828736 9436035920 11323243104 14154053880 18872071840 22646486208 28308107760 37744143680 56616215520 113232431040