Search a number
-
+
322413232040340 = 223571592094821653
BaseRepresentation
bin100100101001110111010111…
…0001010101010100110010100
31120021120101220111020121102220
41021103232232022222212110
5314224404244400242330
63101414332152102340
7124624405310430120
oct11123565612524624
91507511814217386
10322413232040340
1193804758211471
12301b1a170949b0
1310ab958ba54acc
145988c52bd4580
152741a94aa5710
hex1253bae2aa994

322413232040340 has 96 divisors (see below), whose sum is σ = 1031729036808960. Its totient is φ = 73693974875136.

The previous prime is 322413232040299. The next prime is 322413232040357. The reversal of 322413232040340 is 43040232314223.

It is a congruent number.

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, 64456954 + ... + 69278606.

It is an arithmetic number, because the mean of its divisors is an integer number (10747177466760).

Almost surely, 2322413232040340 is an apocalyptic number.

322413232040340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322413232040340 is an abundant number, since it is smaller than the sum of its proper divisors (709315804768620).

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

322413232040340 is a wasteful number, since it uses less digits than its factorization.

322413232040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980881 (or 4980879 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 322413232040340 its reverse (43040232314223), we get a palindrome (365453464354563).

The spelling of 322413232040340 in words is "three hundred twenty-two trillion, four hundred thirteen billion, two hundred thirty-two million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 159209 318418 477627 636836 796045 955254 1114463 1592090 1910508 2228926 2388135 3184180 3343389 4457852 4776270 4821653 5572315 6686778 9552540 9643306 11144630 13373556 14464959 16716945 19286612 22289260 24108265 28929918 33433890 33751571 48216530 57859836 66867780 67503142 72324795 96433060 101254713 135006284 144649590 168757855 202509426 289299180 337515710 405018852 506273565 675031420 1012547130 2025094260 767650552477 1535301104954 2302951657431 3070602209908 3838252762385 4605903314862 5373553867339 7676505524770 9211806629724 10747107734678 11514758287155 15353011049540 16120661602017 21494215469356 23029516574310 26867769336695 32241323204034 46059033148620 53735538673390 64482646408068 80603308010085 107471077346780 161206616020170 322413232040340