Search a number
-
+
13402933974 = 2332271093403
BaseRepresentation
bin11000111101110000…
…01000101011010110
31021121001222120222000
430132320020223112
5204422122341344
610053543220130
7653065026153
oct143670105326
937531876860
1013402933974
115758674741
122720747646
1313579cc881
1491209522a
155369e4a69
hex31ee08ad6

13402933974 has 32 divisors (see below), whose sum is σ = 29915533440. Its totient is φ = 4447959336.

The previous prime is 13402933961. The next prime is 13402933993. The reversal of 13402933974 is 47933920431.

13402933974 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134029339742 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534444 + ... + 558959.

It is an arithmetic number, because the mean of its divisors is an integer number (934860420).

Almost surely, 213402933974 is an apocalyptic number.

13402933974 is an abundant number, since it is smaller than the sum of its proper divisors (16512599466).

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

13402933974 is a wasteful number, since it uses less digits than its factorization.

13402933974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093641 (or 1093635 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

It can be divided in two parts, 13402 and 933974, that added together give a triangular number (947376 = T1376).

The spelling of 13402933974 in words is "thirteen billion, four hundred two million, nine hundred thirty-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 227 454 681 1362 2043 4086 6129 12258 1093403 2186806 3280209 6560418 9840627 19681254 29521881 59043762 248202481 496404962 744607443 1489214886 2233822329 4467644658 6701466987 13402933974