Search a number
-
+
1042315165680 = 243512973348481
BaseRepresentation
bin11110010101011101101…
…00110011111111110000
310200122101201212120020120
433022232310303333300
5114034130140300210
62114455531210240
7135206353504005
oct17125664637760
93618351776216
101042315165680
113720528131a8
1214a0112a6980
137739cba3109
143863c2ad8ac
151c1a6618270
hexf2aed33ff0

1042315165680 has 80 divisors (see below), whose sum is σ = 3233669249184. Its totient is φ = 277736325120.

The previous prime is 1042315165649. The next prime is 1042315165687. The reversal of 1042315165680 is 865615132401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042315165687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362961 + ... + 1985520.

Almost surely, 21042315165680 is an apocalyptic number.

1042315165680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042315165680 is an abundant number, since it is smaller than the sum of its proper divisors (2191354083504).

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

1042315165680 is a wasteful number, since it uses less digits than its factorization.

1042315165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349794 (or 3349788 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1042315165680 in words is "one trillion, forty-two billion, three hundred fifteen million, one hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1297 2594 3891 5188 6485 7782 10376 12970 15564 19455 20752 25940 31128 38910 51880 62256 77820 103760 155640 311280 3348481 6696962 10045443 13393924 16742405 20090886 26787848 33484810 40181772 50227215 53575696 66969620 80363544 100454430 133939240 160727088 200908860 267878480 401817720 803635440 4342979857 8685959714 13028939571 17371919428 21714899285 26057879142 34743838856 43429798570 52115758284 65144697855 69487677712 86859597140 104231516568 130289395710 173719194280 208463033136 260578791420 347438388560 521157582840 1042315165680