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42104404115400 = 23352116379455169
BaseRepresentation
bin10011001001011001100100…
…00011001111111111001000
312112002010211022112110002110
421210230302003033333020
521004314304423143100
6225314255103502320
711603641245635634
oct1144546203177710
9175063738473073
1042104404115400
1112463417511050
1248801478b79a0
131a65574bb27c3
14a57c14c95dc4
154d03738d2250
hex264b320cffc8

42104404115400 has 96 divisors (see below), whose sum is σ = 142389439394400. Its totient is φ = 10207128268800.

The previous prime is 42104404115387. The next prime is 42104404115413. The reversal of 42104404115400 is 451140440124.

42104404115400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42104404115387) and next prime (42104404115413).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 3189720985 + ... + 3189734184.

It is an arithmetic number, because the mean of its divisors is an integer number (1483223327025).

Almost surely, 242104404115400 is an apocalyptic number.

42104404115400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42104404115400 is an abundant number, since it is smaller than the sum of its proper divisors (100285035279000).

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

42104404115400 is a wasteful number, since it uses less digits than its factorization.

42104404115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379455199 (or 6379455190 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 42104404115400 its reverse (451140440124), we get a palindrome (42555544555524).

The spelling of 42104404115400 in words is "forty-two trillion, one hundred four billion, four hundred four million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 6379455169 12758910338 19138365507 25517820676 31897275845 38276731014 51035641352 63794551690 70174006859 76553462028 95691827535 127589103380 140348013718 153106924056 159486379225 191383655070 210522020577 255178206760 280696027436 318972758450 350870034295 382767310140 421044041154 478459137675 561392054872 637945516900 701740068590 765534620280 842088082308 956918275350 1052610102885 1275891033800 1403480137180 1684176164616 1754350171475 1913836550700 2105220205770 2806960274360 3508700342950 3827673101400 4210440411540 5263050514425 7017400685900 8420880823080 10526101028850 14034801371800 21052202057700 42104404115400