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113402141040 = 24358916693181
BaseRepresentation
bin110100110011101001…
…0110101100101110000
3101211201012010122111210
41221213102311211300
53324221422003130
6124032441240120
711123132202666
oct1514722654560
9354635118453
10113402141040
1144103609021
1219b8a193040
13a9032c2406
1456bad8ac36
152e3ab245b0
hex1a674b5970

113402141040 has 160 divisors (see below), whose sum is σ = 355821422400. Its totient is φ = 29873479680.

The previous prime is 113402141029. The next prime is 113402141057. The reversal of 113402141040 is 40141204311.

It is a junction number, because it is equal to n+sod(n) for n = 113402140998 and 113402141016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35648250 + ... + 35651430.

It is an arithmetic number, because the mean of its divisors is an integer number (2223883890).

Almost surely, 2113402141040 is an apocalyptic number.

113402141040 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 113402141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177910711200).

113402141040 is an abundant number, since it is smaller than the sum of its proper divisors (242419281360).

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

113402141040 is a wasteful number, since it uses less digits than its factorization.

113402141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 113402141040 its reverse (40141204311), we get a palindrome (153543345351).

The spelling of 113402141040 in words is "one hundred thirteen billion, four hundred two million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1669 1780 2136 2670 3181 3338 3560 4272 5007 5340 6362 6676 7120 8345 9543 10014 10680 12724 13352 15905 16690 19086 20028 21360 25035 25448 26704 31810 33380 38172 40056 47715 50070 50896 63620 66760 76344 80112 95430 100140 127240 133520 148541 152688 190860 200280 254480 283109 297082 381720 400560 445623 566218 594164 742705 763440 849327 891246 1132436 1188328 1415545 1485410 1698654 1782492 2228115 2264872 2376656 2831090 2970820 3397308 3564984 4246635 4456230 4529744 5309089 5662180 5941640 6794616 7129968 8493270 8912460 10618178 11324360 11883280 13589232 15927267 16986540 17824920 21236356 22648720 26545445 31854534 33973080 35649840 42472712 53090890 63709068 67946160 79636335 84945424 106181780 127418136 159272670 212363560 254836272 318545340 424727120 472508921 637090680 945017842 1274181360 1417526763 1890035684 2362544605 2835053526 3780071368 4725089210 5670107052 7087633815 7560142736 9450178420 11340214104 14175267630 18900356840 22680428208 28350535260 37800713680 56701070520 113402141040