Search a number
-
+
13404963960 = 23325231618957
BaseRepresentation
bin11000111101111111…
…11000010001111000
31021121012210201120200
430132333320101320
5204423132321320
610054054522200
7653121212403
oct143677702170
937535721520
1013404963960
115759830913
122721366360
13135826084b
14912462d3a
15536c96290
hex31eff8478

13404963960 has 96 divisors (see below), whose sum is σ = 45460340640. Its totient is φ = 3419235072.

The previous prime is 13404963941. The next prime is 13404963977. The reversal of 13404963960 is 6936940431.

13404963960 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 9 + 639 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801199 + ... + 817758.

It is an arithmetic number, because the mean of its divisors is an integer number (473545215).

Almost surely, 213404963960 is an apocalyptic number.

13404963960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13404963960 is an abundant number, since it is smaller than the sum of its proper divisors (32055376680).

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

13404963960 is a wasteful number, since it uses less digits than its factorization.

13404963960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618997 (or 1618990 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 13404963960 in words is "thirteen billion, four hundred four million, nine hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1618957 3237914 4856871 6475828 8094785 9713742 12951656 14570613 16189570 19427484 24284355 29141226 32379140 37236011 38854968 48568710 58282452 64758280 72853065 74472022 97137420 111708033 116564904 145706130 148944044 186180055 194274840 223416066 291412260 297888088 335124099 372360110 446832132 558540165 582824520 670248198 744720220 893664264 1117080330 1340496396 1489440440 1675620495 2234160660 2680992792 3351240990 4468321320 6702481980 13404963960