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13938624420 = 2235733187201
BaseRepresentation
bin11001111101100111…
…01000011110100100
31022222101222111002220
430332303220132210
5212021241440140
610223041032340
71002261231660
oct147663503644
938871874086
1013938624420
115a02a98916
1228500256b0
13141199ca76
1496329b8a0
15568a5cbd0
hex33ece87a4

13938624420 has 48 divisors (see below), whose sum is σ = 44603599488. Its totient is φ = 3185971200.

The previous prime is 13938624397. The next prime is 13938624431. The reversal of 13938624420 is 2442683931.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 16593181 + ... + 16594020.

It is an arithmetic number, because the mean of its divisors is an integer number (929241656).

Almost surely, 213938624420 is an apocalyptic number.

13938624420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13938624420 is an abundant number, since it is smaller than the sum of its proper divisors (30664975068).

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

13938624420 is a wasteful number, since it uses less digits than its factorization.

13938624420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33187220 (or 33187218 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 13938624420 in words is "thirteen billion, nine hundred thirty-eight million, six hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 33187201 66374402 99561603 132748804 165936005 199123206 232310407 331872010 398246412 464620814 497808015 663744020 696931221 929241628 995616030 1161552035 1393862442 1991232060 2323104070 2787724884 3484656105 4646208140 6969312210 13938624420