Search a number
-
+
1314215073756 = 2232132996832823
BaseRepresentation
bin10011000111111101010…
…100101001011111011100
311122122012220112000112100
4103013331110221133130
5133013003024330011
62443424142005100
7163643321545164
oct23077524513734
94578186460470
101314215073756
114673a0169532
12192853b76790
1396c1213a6a0
14478734495a4
15242bbd8dd56
hex131fd5297dc

1314215073756 has 72 divisors (see below), whose sum is σ = 3700950533280. Its totient is φ = 390429938304.

The previous prime is 1314215073649. The next prime is 1314215073763. The reversal of 1314215073756 is 6573705124131.

1314215073756 is a `hidden beast` number, since 1 + 31 + 42 + 1 + 507 + 3 + 75 + 6 = 666.

It is a super-2 number, since 2×13142150737562 (a number of 25 digits) contains 22 as substring.

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, 48402840 + ... + 48429983.

It is an arithmetic number, because the mean of its divisors is an integer number (51402090740).

Almost surely, 21314215073756 is an apocalyptic number.

It is an amenable number.

1314215073756 is an abundant number, since it is smaller than the sum of its proper divisors (2386735459524).

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

1314215073756 is a wasteful number, since it uses less digits than its factorization.

1314215073756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96832875 (or 96832870 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1314215073756 in words is "one trillion, three hundred fourteen billion, two hundred fifteen million, seventy-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 96832823 193665646 290498469 387331292 580996938 871495407 1161993876 1258826699 1742990814 2517653398 2808151867 3485981628 3776480097 5035306796 5616303734 7552960194 8424455601 11232607468 11329440291 15105920388 16848911202 22658880582 25273366803 33697822404 36505974271 45317761164 50546733606 73011948542 101093467212 109517922813 146023897084 219035845626 328553768439 438071691252 657107536878 1314215073756