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13402042440 = 2335131984673
BaseRepresentation
bin11000111101101001…
…01111000001001000
31021121000022022000020
430132310233001020
5204421410324230
610053512140440
7653054324013
oct143664570110
937530268006
1013402042440
115758115936
122720397720
131357779b37
14911d0237a
155368ba810
hex31ed2f048

13402042440 has 64 divisors (see below), whose sum is σ = 40237084800. Its totient is φ = 3571126272.

The previous prime is 13402042391. The next prime is 13402042469. The reversal of 13402042440 is 4424020431.

It is a happy number.

It is a super-2 number, since 2×134020424402 (a number of 21 digits) contains 22 as substring.

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 13402042440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115944 + ... + 200616.

It is an arithmetic number, because the mean of its divisors is an integer number (628704450).

Almost surely, 213402042440 is an apocalyptic number.

13402042440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402042440 is an abundant number, since it is smaller than the sum of its proper divisors (26835042360).

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

13402042440 is a wasteful number, since it uses less digits than its factorization.

13402042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86006 (or 86002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 13402042440 its reverse (4424020431), we get a palindrome (17826062871).

The spelling of 13402042440 in words is "thirteen billion, four hundred two million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1319 2638 3957 5276 6595 7914 10552 13190 15828 19785 26380 31656 39570 52760 79140 84673 158280 169346 254019 338692 423365 508038 677384 846730 1016076 1270095 1693460 2032152 2540190 3386920 5080380 10160760 111683687 223367374 335051061 446734748 558418435 670102122 893469496 1116836870 1340204244 1675255305 2233673740 2680408488 3350510610 4467347480 6701021220 13402042440