Search a number
-
+
1123631930736 = 243271114714217
BaseRepresentation
bin10000010110011101101…
…011101001110101110000
310222102021211201020022200
4100112131223221311300
5121402144233240421
62220104523503200
7144115434552540
oct20263553516560
93872254636280
101123631930736
113a3590a28367
12161926087b00
1381c5ba62a43
143c553c91320
151e3654d9726
hex1059dae9d70

1123631930736 has 60 divisors (see below), whose sum is σ = 3593838638832. Its totient is φ = 321037694208.

The previous prime is 1123631930699. The next prime is 1123631930737. The reversal of 1123631930736 is 6370391363211.

1123631930736 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 631 + 9 + 3 + 0 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×11236319307362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123631930691 and 1123631930700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123631930737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557356101 + ... + 557358116.

Almost surely, 21123631930736 is an apocalyptic number.

1123631930736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1123631930736 is an abundant number, since it is smaller than the sum of its proper divisors (2470206708096).

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

1123631930736 is a wasteful number, since it uses less digits than its factorization.

1123631930736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114714238 (or 1114714229 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 1123631930736 in words is "one trillion, one hundred twenty-three billion, six hundred thirty-one million, nine hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1114714217 2229428434 3344142651 4458856868 6688285302 7802999519 8917713736 10032427953 13376570604 15605999038 17835427472 20064855906 23408998557 26753141208 31211998076 40129711812 46817997114 53506282416 62423996152 70226995671 80259423624 93635994228 124847992304 140453991342 160518847248 187271988456 280907982684 374543976912 561815965368 1123631930736