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14013004020 = 22353177011051
BaseRepresentation
bin11010000110011110…
…10111100011110100
31100011120221100201220
431003033113203310
5212144312112040
610234255150340
71004153366061
oct150317274364
940146840656
1014013004020
115a40a80364
122870b153b0
131424212b72
1496d0ddc68
155703512d0
hex3433d78f4

14013004020 has 96 divisors (see below), whose sum is σ = 39453837696. Its totient is φ = 3716160000.

The previous prime is 14013003929. The next prime is 14013004039. The reversal of 14013004020 is 2040031041.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 13332495 + ... + 13333545.

It is an arithmetic number, because the mean of its divisors is an integer number (410977476).

Almost surely, 214013004020 is an apocalyptic number.

14013004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013004020 is an abundant number, since it is smaller than the sum of its proper divisors (25440833676).

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

14013004020 is a wasteful number, since it uses less digits than its factorization.

14013004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14013004020 its reverse (2040031041), we get a palindrome (16053035061).

The spelling of 14013004020 in words is "fourteen billion, thirteen million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 317 634 701 951 1051 1268 1402 1585 1902 2102 2103 2804 3153 3170 3505 3804 4204 4206 4755 5255 6306 6340 7010 8412 9510 10510 10515 12612 14020 15765 19020 21020 21030 31530 42060 63060 222217 333167 444434 666334 666651 736751 888868 999501 1111085 1332668 1333302 1473502 1665835 1999002 2210253 2222170 2666604 2947004 3331670 3333255 3683755 3998004 4420506 4444340 4997505 6663340 6666510 7367510 8841012 9995010 11051265 13333020 14735020 19990020 22102530 44205060 233550067 467100134 700650201 934200268 1167750335 1401300402 2335500670 2802600804 3503251005 4671001340 7006502010 14013004020