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13120140431040 = 263559053231433
BaseRepresentation
bin1011111011101100010101…
…0011110100111011000000
31201110021101010220202221120
42332323011103310323000
53204430021422243130
643523150450552240
72522620211410626
oct276730523647300
951407333822846
1013120140431040
1141a9247260825
12157a930598680
137422baca1076
14335037c85516
1517b441b2b910
hexbeec54f4ec0

13120140431040 has 112 divisors (see below), whose sum is σ = 41657331272928. Its totient is φ = 3498629750784.

The previous prime is 13120140431039. The next prime is 13120140431093. The reversal of 13120140431040 is 4013404102131.

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 13120140431040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56575164 + ... + 56806596.

It is an arithmetic number, because the mean of its divisors is an integer number (371940457794).

Almost surely, 213120140431040 is an apocalyptic number.

13120140431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120140431040 is an abundant number, since it is smaller than the sum of its proper divisors (28537190841888).

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

13120140431040 is a wasteful number, since it uses less digits than its factorization.

13120140431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290506 (or 290496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13120140431040 its reverse (4013404102131), we get a palindrome (17133544533171).

The spelling of 13120140431040 in words is "thirteen trillion, one hundred twenty billion, one hundred forty 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 59053 118106 177159 231433 236212 295265 354318 462866 472424 590530 694299 708636 885795 925732 944848 1157165 1181060 1388598 1417272 1771590 1851464 1889696 2314330 2362120 2777196 2834544 3471495 3543180 3702928 3779392 4628660 4724240 5554392 5669088 6942990 7086360 7405856 9257320 9448480 11108784 11338176 13885980 14172720 14811712 18514640 18896960 22217568 27771960 28345440 37029280 44435136 55543920 56690880 74058560 111087840 222175680 13666812949 27333625898 41000438847 54667251796 68334064745 82000877694 109334503592 136668129490 164001755388 205002194235 218669007184 273336258980 328003510776 410004388470 437338014368 546672517960 656007021552 820008776940 874676028736 1093345035920 1312014043104 1640017553880 2186690071840 2624028086208 3280035107760 4373380143680 6560070215520 13120140431040