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7242104145588 = 22313289340711777
BaseRepresentation
bin110100101100010111100…
…0010111000011010110100
3221122100010200121212111020
41221120233002320122310
51422123312130124323
623222550545341140
71345140043356234
oct151305702703264
927570120555436
107242104145588
1123423a4a97284
1298b69a0377b0
13406c09909b00
141b073c12dcc4
15c85b5240ae3
hex6962f0b86b4

7242104145588 has 144 divisors (see below), whose sum is σ = 18510696771840. Its totient is φ = 2202468483072.

The previous prime is 7242104145583. The next prime is 7242104145707. The reversal of 7242104145588 is 8855414012427.

It is a self number, because there is not a number n which added to its sum of digits gives 7242104145588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7242104145581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614930356 + ... + 614942132.

It is an arithmetic number, because the mean of its divisors is an integer number (128546505360).

Almost surely, 27242104145588 is an apocalyptic number.

7242104145588 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7242104145588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255348385920).

7242104145588 is an abundant number, since it is smaller than the sum of its proper divisors (11268592626252).

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

7242104145588 is a wasteful number, since it uses less digits than its factorization.

7242104145588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306 (or 15291 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 51.

The spelling of 7242104145588 in words is "seven trillion, two hundred forty-two billion, one hundred four million, one hundred forty-five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 169 178 267 338 356 507 534 676 1014 1068 1157 2028 2314 3407 3471 4628 6814 6942 10221 11777 13628 13884 15041 20442 23554 30082 35331 40884 44291 45123 47108 60164 70662 88582 90246 132873 141324 153101 177164 180492 265746 303223 306202 459303 531492 575783 606446 612404 909669 918606 1048153 1151566 1212892 1727349 1819338 1837212 1990313 2096306 2303132 3144459 3454698 3638676 3941899 3980626 4192612 5970939 6288918 6909396 7883798 7961252 11825697 11941878 12577836 13625989 15767596 23651394 23883756 27251978 40124239 40877967 47302788 51244687 54503956 80248478 81755934 102489374 120372717 153734061 160496956 163511868 177137857 204978748 240745434 307468122 354275714 481490868 521615107 531413571 614936244 708551428 1043230214 1062827142 1564845321 2086460428 2125654284 3129690642 3571057271 6259381284 6780996391 7142114542 10713171813 13561992782 14284229084 20342989173 21426343626 27123985564 40685978346 42852687252 46423744523 81371956692 92847489046 139271233569 185694978092 278542467138 557084934276 603508678799 1207017357598 1810526036397 2414034715196 3621052072794 7242104145588