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104234222440432 = 24731139921459169
BaseRepresentation
bin10111101100110011101011…
…110011010100111111110000
3111200001200202011212000110001
4113230303223303110333300
5102130233141421043212
61005404312444315344
730645450126064240
oct2754635363247760
9450050664760401
10104234222440432
1130237538206a67
12b83535a242b54
13462132535a7a6
141ba4d6b375b20
15c0b58838b657
hex5eccebcd4ff0

104234222440432 has 80 divisors (see below), whose sum is σ = 238419962368000. Its totient is φ = 43199880284160.

The previous prime is 104234222440421. The next prime is 104234222440457. The reversal of 104234222440432 is 234044222432401.

It is a super-2 number, since 2×1042342224404322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104234222440391 and 104234222440400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5872257 + ... + 15586912.

It is an arithmetic number, because the mean of its divisors is an integer number (2980249529600).

Almost surely, 2104234222440432 is an apocalyptic number.

It is an amenable number.

104234222440432 is an abundant number, since it is smaller than the sum of its proper divisors (134185739927568).

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

104234222440432 is a wasteful number, since it uses less digits than its factorization.

104234222440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21460614 (or 21460608 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 104234222440432 its reverse (234044222432401), we get a palindrome (338278444872833).

The spelling of 104234222440432 in words is "one hundred four trillion, two hundred thirty-four billion, two hundred twenty-two million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1399 1736 2798 3472 5596 9793 11192 19586 22384 39172 43369 78344 86738 156688 173476 303583 346952 607166 693904 1214332 2428664 4857328 21459169 42918338 85836676 150214183 171673352 300428366 343346704 600856732 665234239 1201713464 1330468478 2403426928 2660936956 4656639673 5321873912 9313279346 10643747824 18626558692 30021377431 37253117384 60042754862 74506234768 120085509724 210149642017 240171019448 420299284034 480342038896 840598568068 930662700361 1681197136136 1861325400722 3362394272272 3722650801444 6514638902527 7445301602888 13029277805054 14890603205776 26058555610108 52117111220216 104234222440432