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113344000040 = 235171072695791
BaseRepresentation
bin110100110001111010…
…1000011000000101000
3101211120010201210001102
41221203311003000220
53324112031000130
6124023003140532
711121525050465
oct1514365030050
9354503653042
10113344000040
1144083807907
1219b72814748
13a8c424665b
1456b337466c
152e3598c645
hex1a63d43028

113344000040 has 128 divisors (see below), whose sum is σ = 273609446400. Its totient is φ = 42107473920.

The previous prime is 113344000039. The next prime is 113344000051. The reversal of 113344000040 is 40000443311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113343999976 and 113344000021.

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, 19569545 + ... + 19575335.

It is an arithmetic number, because the mean of its divisors is an integer number (2137573800).

Almost surely, 2113344000040 is an apocalyptic number.

113344000040 is a gapful number since it is divisible by the number (10) 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 113344000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136804723200).

113344000040 is an abundant number, since it is smaller than the sum of its proper divisors (160265446360).

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

113344000040 is a wasteful number, since it uses less digits than its factorization.

113344000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 113344000040 its reverse (40000443311), we get a palindrome (153344443351).

The spelling of 113344000040 in words is "one hundred thirteen billion, three hundred forty-four million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 269 340 428 535 538 680 856 1070 1076 1345 1819 2140 2152 2690 3638 4280 4573 5380 5791 7276 9095 9146 10760 11582 14552 18190 18292 22865 23164 28783 28955 36380 36584 45730 46328 57566 57910 72760 91460 98447 115132 115820 143915 182920 196894 230264 231640 287830 393788 489311 492235 575660 619637 787576 978622 984470 1151320 1239274 1557779 1957244 1968940 2446555 2478548 3098185 3115558 3914488 3937880 4893110 4957096 6196370 6231116 7788895 9786220 10533829 12392740 12462232 15577790 19572440 21067658 24785480 26482243 31155580 42135316 52669145 52964486 62311160 84270632 105338290 105928972 132411215 166682353 210676580 211857944 264822430 333364706 421353160 529644860 666729412 833411765 1059289720 1333458824 1666823530 2833600001 3333647060 5667200002 6667294120 11334400004 14168000005 22668800008 28336000010 56672000020 113344000040