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240120313422 = 2311312632931523
BaseRepresentation
bin1101111110100001001…
…0010011011001001110
3211221210101201202222120
43133220102103121032
512413231300012142
6302150523353410
723230255662543
oct3375022233116
9757711652876
10240120313422
119291a725520
123a653982866
13198492a81c2
14b89c64abca
1563a57c47ec
hex37e849364e

240120313422 has 128 divisors (see below), whose sum is σ = 545065500672. Its totient is φ = 69863452800.

The previous prime is 240120313417. The next prime is 240120313469. The reversal of 240120313422 is 224313021042.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 240120313392 and 240120313401.

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, 157661953 + ... + 157663475.

It is an arithmetic number, because the mean of its divisors is an integer number (4258324224).

Almost surely, 2240120313422 is an apocalyptic number.

240120313422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240120313422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272532750336).

240120313422 is an abundant number, since it is smaller than the sum of its proper divisors (304945187250).

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

240120313422 is a wasteful number, since it uses less digits than its factorization.

240120313422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 240120313422 its reverse (224313021042), we get a palindrome (464433334464).

The spelling of 240120313422 in words is "two hundred forty billion, one hundred twenty million, three hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 263 293 341 526 586 682 789 879 1023 1523 1578 1758 2046 2893 3046 3223 4569 5786 6446 8153 8679 9083 9138 9669 16306 16753 17358 18166 19338 24459 27249 33506 47213 48918 50259 54498 77059 89683 94426 99913 100518 141639 154118 179366 199826 231177 269049 283278 299739 400549 446239 462354 519343 538098 599478 801098 847649 892478 1038686 1201647 1338717 1558029 1695298 2388829 2403294 2542947 2677434 3116058 4406039 4777658 4908629 5085894 7166487 8812078 9817258 12417019 13218117 13833409 14332974 14725887 24834038 26277119 26436234 27666818 29451774 37251057 41500227 52554238 74502114 78831357 83000454 117360857 136587209 152167499 157662714 234721714 273174418 304334998 352082571 409761627 456502497 704165142 819523254 913004994 1290969427 2581938854 3638186567 3872908281 7276373134 7745816562 10914559701 21829119402 40020052237 80040104474 120060156711 240120313422