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104042020410240 = 2735114926232027
BaseRepresentation
bin10111101010000000101011…
…101010110001001110000000
3111122101022122021211020112020
4113222000223222301032000
5102114111024211111430
61005140124440001440
730625534153556133
oct2752005352611600
9448338567736466
10104042020410240
1130172a78173a10
12b80405a160280
134609174766343
141b99936bac21a
15c06589806b10
hex5ea02bab1380

104042020410240 has 128 divisors (see below), whose sum is σ = 361782480136320. Its totient is φ = 25222307973120.

The previous prime is 104042020410227. The next prime is 104042020410277. The reversal of 104042020410240 is 42014020240401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1040420204102403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104042020410240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463094894 + ... + 2463137133.

It is an arithmetic number, because the mean of its divisors is an integer number (2826425626065).

Almost surely, 2104042020410240 is an apocalyptic number.

104042020410240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104042020410240 is an abundant number, since it is smaller than the sum of its proper divisors (257740459726080).

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

104042020410240 is a wasteful number, since it uses less digits than its factorization.

104042020410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926232060 (or 4926232048 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 104042020410240 its reverse (42014020240401), we get a palindrome (146056040650641).

The spelling of 104042020410240 in words is "one hundred four trillion, forty-two billion, twenty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 4926232027 9852464054 14778696081 19704928108 24631160135 29557392162 39409856216 49262320270 54188552297 59114784324 73893480405 78819712432 98524640540 108377104594 118229568648 147786960810 157639424864 162565656891 197049281080 216754209188 236459137296 270942761485 295573921620 315278849728 325131313782 394098562160 433508418376 472918274592 541885522970 591147843240 630557699456 650262627564 788197124320 812828284455 867016836752 945836549184 1083771045940 1182295686480 1300525255128 1576394248640 1625656568910 1734033673504 1891673098368 2167542091880 2364591372960 2601050510256 3152788497280 3251313137820 3468067347008 4335084183760 4729182745920 5202101020512 6502626275640 6936134694016 8670168367520 9458365491840 10404202041024 13005252551280 17340336735040 20808404082048 26010505102560 34680673470080 52021010205120 104042020410240