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13120142020040 = 23511107278677613
BaseRepresentation
bin1011111011101100010101…
…1001111000110111001000
31201110021101020220111122102
42332323011121320313020
53204430022324120130
643523150545012532
72522620231046366
oct276730531706710
951407336814572
1013120142020040
1141a9248146650
12157a931024148
137422bb4093c3
1433503817a636
1517b441d42645
hexbeec5678dc8

13120142020040 has 64 divisors (see below), whose sum is σ = 32504956896960. Its totient is φ = 4726372299520.

The previous prime is 13120142019997. The next prime is 13120142020049. The reversal of 13120142020040 is 4002024102131.

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 = 13120142019994 and 13120142020021.

It is not an unprimeable number, because it can be changed into a prime (13120142020049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139291727 + ... + 139385886.

It is an arithmetic number, because the mean of its divisors is an integer number (507889951515).

Almost surely, 213120142020040 is an apocalyptic number.

13120142020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120142020040 is an abundant number, since it is smaller than the sum of its proper divisors (19384814876920).

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

13120142020040 is a wasteful number, since it uses less digits than its factorization.

13120142020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278677742 (or 278677738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13120142020040 its reverse (4002024102131), we get a palindrome (17122166122171).

The spelling of 13120142020040 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-two million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 47080 278677613 557355226 1114710452 1393388065 2229420904 2786776130 3065453743 5573552260 6130907486 11147104520 12261814972 15327268715 24523629944 29818504591 30654537430 59637009182 61309074860 119274018364 122618149720 149092522955 238548036728 298185045910 328003550501 596370091820 656007101002 1192740183640 1312014202004 1640017752505 2624028404008 3280035505010 6560071010020 13120142020040