Search a number
-
+
13981434900 = 2235246604783
BaseRepresentation
bin11010000010101101…
…11100010000010100
31100002101112111001020
431001112330100110
5212113221404100
610231210401140
71003321143606
oct150126742024
940071474036
1013981434900
115a25178a84
1228624301b0
13141a80b904
14968c43176
1556c6b75a0
hex3415bc414

13981434900 has 36 divisors (see below), whose sum is σ = 40452952512. Its totient is φ = 3728382560.

The previous prime is 13981434893. The next prime is 13981434913. The reversal of 13981434900 is 943418931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23302092 + ... + 23302691.

Almost surely, 213981434900 is an apocalyptic number.

13981434900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13981434900 is an abundant number, since it is smaller than the sum of its proper divisors (26471517612).

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

13981434900 is a wasteful number, since it uses less digits than its factorization.

13981434900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46604800 (or 46604793 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 13981434900 in words is "thirteen billion, nine hundred eighty-one million, four hundred thirty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 46604783 93209566 139814349 186419132 233023915 279628698 466047830 559257396 699071745 932095660 1165119575 1398143490 2330239150 2796286980 3495358725 4660478300 6990717450 13981434900