Search a number
-
+
3402269138910 = 2352348759916903
BaseRepresentation
bin110001100000100111000…
…010110001111111011110
3110001020211222121211211210
4301200213002301333132
5421220321344421120
611122551511125250
7500543254343325
oct61404702617736
913036758554753
103402269138910
1110a1992260794
1246b471073826
131b8aa92c9495
14ba9565b30bc
155d77a464ce0
hex318270b1fde

3402269138910 has 128 divisors (see below), whose sum is σ = 8552720793600. Its totient is φ = 864546224256.

The previous prime is 3402269138909. The next prime is 3402269138977. The reversal of 3402269138910 is 198319622043.

It is a self number, because there is not a number n which added to its sum of digits gives 3402269138910.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201273519 + ... + 201290421.

It is an arithmetic number, because the mean of its divisors is an integer number (66818131200).

Almost surely, 23402269138910 is an apocalyptic number.

3402269138910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402269138910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276360396800).

3402269138910 is an abundant number, since it is smaller than the sum of its proper divisors (5150451654690).

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

3402269138910 is a wasteful number, since it uses less digits than its factorization.

3402269138910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18022.

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 3402269138910 in words is "three trillion, four hundred two billion, two hundred sixty-nine million, one hundred thirty-eight thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 487 599 690 974 1198 1461 1797 2435 2922 2995 3594 4870 5990 7305 8985 11201 13777 14610 16903 17970 22402 27554 33603 33806 41331 50709 56005 67206 68885 82662 84515 101418 112010 137770 168015 169030 206655 253545 291713 336030 388769 413310 507090 583426 777538 875139 1166307 1458565 1750278 1943845 2332614 2917130 3887690 4375695 5831535 6709399 8231761 8751390 10124897 11663070 13418798 16463522 20128197 20249794 24695283 30374691 33546995 40256394 41158805 49390566 50624485 60749382 67093990 82317610 100640985 101248970 123476415 151873455 189330503 201281970 232872631 246952830 303746910 378661006 465745262 567991509 698617893 946652515 1135983018 1164363155 1397235786 1893305030 2328726310 2839957545 3493089465 4930824839 5679915090 6986178930 9861649678 14792474517 24654124195 29584949034 49308248390 73962372585 113408971297 147924745170 226817942594 340226913891 567044856485 680453827782 1134089712970 1701134569455 3402269138910