Search a number
-
+
151344226362 = 23719718332183
BaseRepresentation
bin1000110011110011010…
…0011010000000111010
3112110122102212021210010
42030330310122000322
54434423110220422
6153305424002350
713635310461360
oct2147464320072
9473572767703
10151344226362
115920396332a
12253b8a603b6
131136bc00884
14747a105630
153e0bb08b0c
hex233cd1a03a

151344226362 has 128 divisors (see below), whose sum is σ = 373725757440. Its totient is φ = 39900530880.

The previous prime is 151344226357. The next prime is 151344226391. The reversal of 151344226362 is 263622443151.

It is a super-2 number, since 2×1513442263622 (a number of 23 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 151344226362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4686523 + ... + 4718705.

It is an arithmetic number, because the mean of its divisors is an integer number (2919732480).

Almost surely, 2151344226362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151344226362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186862878720).

151344226362 is an abundant number, since it is smaller than the sum of its proper divisors (222381531078).

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

151344226362 is a wasteful number, since it uses less digits than its factorization.

151344226362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32368.

The product of its digits is 207360, while the sum is 39.

The spelling of 151344226362 in words is "one hundred fifty-one billion, three hundred forty-four million, two hundred twenty-six thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 71 83 114 133 142 166 213 249 266 399 426 497 498 581 798 994 1162 1349 1491 1577 1743 2698 2982 3154 3486 4047 4731 5893 8094 9443 9462 11039 11786 17679 18886 22078 28329 32183 33117 35358 41251 56658 64366 66234 82502 96549 111967 123753 193098 223934 225281 247506 335901 450562 611477 671802 675843 783769 1222954 1351686 1567538 1834431 2284993 2351307 2671189 3668862 4280339 4569986 4702614 5342378 6854979 8013567 8560678 12841017 13709958 15994951 16027134 18698323 25682034 31989902 37396646 43414867 47984853 50752591 56094969 86829734 95969706 101505182 112189938 130244601 152257773 189654419 260489202 303904069 304515546 355268137 379308838 568963257 607808138 710536274 911712207 1065804411 1137926514 1327580933 1823424414 2131608822 2655161866 3603433961 3982742799 7206867922 7965485598 10810301883 21620603766 25224037727 50448075454 75672113181 151344226362