Search a number
-
+
13415926140 = 22325607122789
BaseRepresentation
bin11000111111010011…
…01100100101111100
31021121222102122212100
430133221230211330
5204433434114030
610055125505100
7653313330201
oct143751544574
937558378770
1013415926140
115764a38971
122724b72190
13135a5cb346
14913ab7ca8
15537c0e360
hex31fa6c97c

13415926140 has 72 divisors (see below), whose sum is σ = 40762350720. Its totient is φ = 3571657344.

The previous prime is 13415926133. The next prime is 13415926157. The reversal of 13415926140 is 4162951431.

It is a happy number.

13415926140 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 592 + 61 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13415926095 and 13415926104.

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, 47866 + ... + 170654.

It is an arithmetic number, because the mean of its divisors is an integer number (566143760).

Almost surely, 213415926140 is an apocalyptic number.

13415926140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13415926140 is an abundant number, since it is smaller than the sum of its proper divisors (27346424580).

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

13415926140 is a wasteful number, since it uses less digits than its factorization.

13415926140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123411 (or 123406 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13415926140 in words is "thirteen billion, four hundred fifteen million, nine hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 607 1214 1821 2428 3035 3642 5463 6070 7284 9105 10926 12140 18210 21852 27315 36420 54630 109260 122789 245578 368367 491156 613945 736734 1105101 1227890 1473468 1841835 2210202 2455780 3683670 4420404 5525505 7367340 11051010 22102020 74532923 149065846 223598769 298131692 372664615 447197538 670796307 745329230 894395076 1117993845 1341592614 1490658460 2235987690 2683185228 3353981535 4471975380 6707963070 13415926140