Search a number
-
+
2290911644034 = 2321331421750151
BaseRepresentation
bin100001010101100100111…
…110011000100110000010
322010000020120102120002200
4201111210332120212002
5300013241340102114
64512232535054030
7324340632451656
oct41254476304602
98100216376080
102290911644034
1180362a9987a2
1230bbb1811316
13138055518150
147cc4897aa66
153e8d285a409
hex21564f98982

2290911644034 has 96 divisors (see below), whose sum is σ = 5531008723968. Its totient is φ = 680536080000.

The previous prime is 2290911644033. The next prime is 2290911644057. The reversal of 2290911644034 is 4304461190922.

2290911644034 is a `hidden beast` number, since 2 + 2 + 90 + 9 + 116 + 440 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2290911644033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678859 + ... + 3429009.

It is an arithmetic number, because the mean of its divisors is an integer number (57614674208).

Almost surely, 22290911644034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290911644034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765504361984).

2290911644034 is an abundant number, since it is smaller than the sum of its proper divisors (3240097079934).

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

2290911644034 is a wasteful number, since it uses less digits than its factorization.

2290911644034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750624 (or 750621 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2290911644034 in words is "two trillion, two hundred ninety billion, nine hundred eleven million, six hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 421 558 806 842 1209 1263 2418 2526 3627 3789 5473 7254 7578 10946 13051 16419 26102 32838 39153 49257 78306 98514 117459 169663 234918 339326 508989 750151 1017978 1500302 1526967 2250453 3053934 4500906 6751359 9751963 13502718 19503926 23254681 29255889 46509362 58511778 69764043 87767667 139528086 175535334 209292129 302310853 315813571 418584258 604621706 631627142 906932559 947440713 1813865118 1894881426 2720797677 2842322139 4105576423 5441595354 5684644278 8211152846 9790220701 12316729269 19580441402 24633458538 29370662103 36950187807 58741324206 73900375614 88111986309 127272869113 176223972618 254545738226 381818607339 763637214678 1145455822017 2290911644034