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13331014031040 = 263583167306903
BaseRepresentation
bin1100000111111101111001…
…0110110001011011000000
31202012102200021210120110220
43001333132112301123000
53221403404042443130
644204103332023040
72544063645422436
oct301773626613300
952172607716426
1013331014031040
11427a718977602
1215b3781761a80
13759155c8c884
14341320132d56
15181b849c3410
hexc1fde5b16c0

13331014031040 has 112 divisors (see below), whose sum is σ = 42835921244928. Its totient is φ = 3512106486784.

The previous prime is 13331014031033. The next prime is 13331014031053. The reversal of 13331014031040 is 4013041013331.

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 13331014031040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83573772 + ... + 83733131.

It is an arithmetic number, because the mean of its divisors is an integer number (382463582544).

Almost surely, 213331014031040 is an apocalyptic number.

13331014031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331014031040 is an abundant number, since it is smaller than the sum of its proper divisors (29504907213888).

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

13331014031040 is a wasteful number, since it uses less digits than its factorization.

13331014031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167307006 (or 167306996 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13331014031040 its reverse (4013041013331), we get a palindrome (17344055044371).

The spelling of 13331014031040 in words is "thirteen trillion, three hundred thirty-one billion, fourteen million, 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 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 13280 15936 19920 26560 39840 79680 167306903 334613806 501920709 669227612 836534515 1003841418 1338455224 1673069030 2007682836 2509603545 2676910448 3346138060 4015365672 5019207090 5353820896 6692276120 8030731344 10038414180 10707641792 13384552240 13886472949 16061462688 20076828360 26769104480 27772945898 32122925376 40153656720 41659418847 53538208960 55545891796 69432364745 80307313440 83318837694 111091783592 138864729490 160614626880 166637675388 208297094235 222183567184 277729458980 333275350776 416594188470 444367134368 555458917960 666550701552 833188376940 888734268736 1110917835920 1333101403104 1666376753880 2221835671840 2666202806208 3332753507760 4443671343680 6665507015520 13331014031040