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42104344200 = 23352179392033
BaseRepresentation
bin100111001101100111…
…010100111010001000
311000200022202022001120
4213031213110322020
51142212203003300
631201550115240
73020246010042
oct471547247210
9130608668046
1042104344200
1116946893a86
1281b07abb20
133c80031849
142075c68a92
15116660b3a0
hex9cd9d4e88

42104344200 has 96 divisors (see below), whose sum is σ = 131252983200. Its totient is φ = 11165071360.

The previous prime is 42104344171. The next prime is 42104344237. The reversal of 42104344200 is 244340124.

It is a happy number.

42104344200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88617 + ... + 303416.

It is an arithmetic number, because the mean of its divisors is an integer number (1367218575).

Almost surely, 242104344200 is an apocalyptic number.

42104344200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42104344200 is an abundant number, since it is smaller than the sum of its proper divisors (89148639000).

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

42104344200 is a wasteful number, since it uses less digits than its factorization.

42104344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392231 (or 392222 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42104344200 its reverse (244340124), we get a palindrome (42348684324).

The spelling of 42104344200 in words is "forty-two billion, one hundred four million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 179 200 300 358 537 600 716 895 1074 1432 1790 2148 2685 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 26850 35800 53700 107400 392033 784066 1176099 1568132 1960165 2352198 3136264 3920330 4704396 5880495 7840660 9408792 9800825 11760990 15681320 19601650 23521980 29402475 39203300 47043960 58804950 70173907 78406600 117609900 140347814 210521721 235219800 280695628 350869535 421043442 561391256 701739070 842086884 1052608605 1403478140 1684173768 1754347675 2105217210 2806956280 3508695350 4210434420 5263043025 7017390700 8420868840 10526086050 14034781400 21052172100 42104344200