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104322433414024 = 2374147939479783
BaseRepresentation
bin10111101110000101110101…
…100101011111001110001000
3111200101010102202100202201001
4113232011311211133032020
5102133204320423222044
61005513021515504344
730655022103016330
oct2756056545371610
9450333382322631
10104322433414024
1130270993a89031
12b84a477a580b4
134629742632757
141ba93388160c0
15c0d9ec62b2d4
hex5ee17595f388

104322433414024 has 64 divisors (see below), whose sum is σ = 229048265859840. Its totient is φ = 43610030730240.

The previous prime is 104322433413943. The next prime is 104322433414141. The reversal of 104322433414024 is 420414334223401.

It is a super-2 number, since 2×1043224334140242 (a number of 29 digits) contains 22 as substring.

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, 6264837 + ... + 15744619.

It is an arithmetic number, because the mean of its divisors is an integer number (3578879154060).

Almost surely, 2104322433414024 is an apocalyptic number.

104322433414024 is a gapful number since it is divisible by the number (14) 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 104322433414024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114524132929920).

104322433414024 is an abundant number, since it is smaller than the sum of its proper divisors (124725832445816).

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

104322433414024 is a wasteful number, since it uses less digits than its factorization.

104322433414024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9484630 (or 9484626 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 104322433414024 its reverse (420414334223401), we get a palindrome (524736767637425).

The spelling of 104322433414024 in words is "one hundred four trillion, three hundred twenty-two billion, four hundred thirty-three million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 4793 9586 19172 33551 38344 67102 134204 196513 268408 393026 786052 1375591 1572104 2751182 5502364 9479783 11004728 18959566 37919132 66358481 75838264 132716962 265433924 388671103 530867848 777342206 1554684412 2720697721 3109368824 5441395442 10882790884 21765581768 45436599919 90873199838 181746399676 318056199433 363492799352 636112398866 1272224797732 1862900596679 2544449595464 3725801193358 7451602386716 13040304176753 14903204773432 26080608353506 52161216707012 104322433414024