Search a number
-
+
2314486150704 = 2432713176624401
BaseRepresentation
bin100001101011100010000…
…111111111011000110000
322012021002112000120200100
4201223202013333120300
5300410031423310304
64531132114352400
7326134060452060
oct41534207773060
98167075016610
102314486150704
11812628103562
1231469088b700
1313a341618290
14800438973a0
15403122ee439
hex21ae21ff630

2314486150704 has 120 divisors (see below), whose sum is σ = 7972119008672. Its totient is φ = 610413926400.

The previous prime is 2314486150661. The next prime is 2314486150709. The reversal of 2314486150704 is 4070516844132.

2314486150704 is a `hidden beast` number, since 2 + 3 + 14 + 486 + 150 + 7 + 0 + 4 = 666.

2314486150704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23144861507042 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2314486150704.

It is not an unprimeable number, because it can be changed into a prime (2314486150709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88299097 + ... + 88325304.

Almost surely, 22314486150704 is an apocalyptic number.

2314486150704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314486150704 is an abundant number, since it is smaller than the sum of its proper divisors (5657632857968).

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

2314486150704 is a wasteful number, since it uses less digits than its factorization.

2314486150704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176624435 (or 176624426 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2314486150704 in words is "two trillion, three hundred fourteen billion, four hundred eighty-six million, one hundred fifty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 176624401 353248802 529873203 706497604 1059746406 1236370807 1412995208 1589619609 2119492812 2296117213 2472741614 2825990416 3179239218 3709112421 4238985624 4592234426 4945483228 6358478436 6888351639 7418224842 8477971248 9184468852 9890966456 11127337263 12716956872 13776703278 14836449684 16072820491 18368937704 19781932912 20665054917 22254674526 25433913744 27553406556 29672899368 32145640982 36737875408 41330109834 44509349052 48218461473 55106813112 59345798736 64291281964 82660219668 89018698104 96436922946 110213626224 128582563928 144655384419 165320439336 178037396208 192873845892 257165127856 289310768838 330640878672 385747691784 578621537676 771495383568 1157243075352 2314486150704