Search a number
-
+
138226564311330 = 235111393013441559
BaseRepresentation
bin11111011011011101100001…
…010000111010100100100010
3200010102022220221010012200010
4133123131201100322210202
5121104201000430430310
61205552223525305350
741054353056455565
oct3733354120724442
9603368827105603
10138226564311330
1140052613aa3970
1213605298865256
135c1892ab20411
14261c2b694a4dc
1510ea8cbb55320
hex7db76143a922

138226564311330 has 64 divisors (see below), whose sum is σ = 364505891097600. Its totient is φ = 33268394800320.

The previous prime is 138226564311323. The next prime is 138226564311343. The reversal of 138226564311330 is 33113465622831.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138226564311330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1506674910 + ... + 1506766649.

It is an arithmetic number, because the mean of its divisors is an integer number (5695404548400).

Almost surely, 2138226564311330 is an apocalyptic number.

138226564311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138226564311330 is an abundant number, since it is smaller than the sum of its proper divisors (226279326786270).

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

138226564311330 is a wasteful number, since it uses less digits than its factorization.

138226564311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013441719.

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 138226564311330 in words is "one hundred thirty-eight trillion, two hundred twenty-six billion, five hundred sixty-four million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 278 330 417 695 834 1390 1529 2085 3058 4170 4587 7645 9174 15290 22935 45870 3013441559 6026883118 9040324677 15067207795 18080649354 30134415590 33147857149 45201623385 66295714298 90403246770 99443571447 165739285745 198887142894 331478571490 418868376701 497217857235 837736753402 994435714470 1256605130103 2094341883505 2513210260206 4188683767010 4607552143711 6283025650515 9215104287422 12566051301030 13822656431133 23037760718555 27645312862266 46075521437110 69113282155665 138226564311330