Search a number
-
+
240450450160128 = 2931324149965931
BaseRepresentation
bin110110101011000000111011…
…101010101111101000000000
31011112100211122022000010002220
4312223000323222233220000
5223004020010220111003
62211221224544011040
7101434654210512315
oct6653007352575000
91145324568003086
10240450450160128
116a68451064882a
1222b74aa9300a80
13a4224c3289220
144353c146d2d0c
151cbea0481a353
hexdab03baafa00

240450450160128 has 160 divisors (see below), whose sum is σ = 692712491604672. Its totient is φ = 73677761740800.

The previous prime is 240450450160091. The next prime is 240450450160147. The reversal of 240450450160128 is 821061054054042.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 240450450160128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20170678 + ... + 29795253.

Almost surely, 2240450450160128 is an apocalyptic number.

It is an amenable number.

240450450160128 is an abundant number, since it is smaller than the sum of its proper divisors (452262041444544).

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

240450450160128 is a wasteful number, since it uses less digits than its factorization.

240450450160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49966206 (or 49966190 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 240450450160128 in words is "two hundred forty trillion, four hundred fifty billion, four hundred fifty million, one hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 241 256 312 384 416 482 512 624 723 768 832 964 1248 1446 1536 1664 1928 2496 2892 3133 3328 3856 4992 5784 6266 6656 7712 9399 9984 11568 12532 15424 18798 19968 23136 25064 30848 37596 46272 50128 61696 75192 92544 100256 123392 150384 185088 200512 300768 370176 401024 601536 802048 1203072 1604096 2406144 4812288 49965931 99931862 149897793 199863724 299795586 399727448 599591172 649557103 799454896 1199182344 1299114206 1598909792 1948671309 2398364688 2598228412 3197819584 3897342618 4796729376 5196456824 6395639168 7794685236 9593458752 10392913648 12041789371 12791278336 15589370472 19186917504 20785827296 24083578742 25582556672 31178740944 36125368113 38373835008 41571654592 48167157484 62357481888 72250736226 76747670016 83143309184 96334314968 124714963776 144501472452 156543261823 166286618368 192668629936 249429927552 289002944904 313086523646 332573236736 385337259872 469629785469 498859855104 578005889808 626173047292 770674519744 939259570938 997719710208 1156011779616 1252346094584 1541349039488 1878519141876 2312023559232 2504692189168 3082698078976 3757038283752 4624047118464 5009384378336 6165396157952 7514076567504 9248094236928 10018768756672 15028153135008 18496188473856 20037537513344 30056306270016 40075075026688 60112612540032 80150150053376 120225225080064 240450450160128