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104114104440 = 23353112789767
BaseRepresentation
bin110000011110110101…
…1110010100001111000
3100221201220001111120020
41200331223302201320
53201211202320230
6115455050330440
710344021200043
oct1407553624170
9327656044506
10104114104440
1140177774715
1218217729a20
139a82c72778
1450795d7c5a
152a954ed810
hex183daf2878

104114104440 has 64 divisors (see below), whose sum is σ = 313346741760. Its totient is φ = 27674478720.

The previous prime is 104114104429. The next prime is 104114104459. The reversal of 104114104440 is 44401411401.

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 104114104440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357564 + ... + 1432203.

It is an arithmetic number, because the mean of its divisors is an integer number (4896042840).

Almost surely, 2104114104440 is an apocalyptic number.

104114104440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104114104440 is an abundant number, since it is smaller than the sum of its proper divisors (209232637320).

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

104114104440 is a wasteful number, since it uses less digits than its factorization.

104114104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790092 (or 2790088 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 104114104440 its reverse (44401411401), we get a palindrome (148515515841).

The spelling of 104114104440 in words is "one hundred four billion, one hundred fourteen million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 9330 12440 18660 37320 2789767 5579534 8369301 11159068 13948835 16738602 22318136 27897670 33477204 41846505 55795340 66954408 83693010 111590680 167386020 334772040 867617537 1735235074 2602852611 3470470148 4338087685 5205705222 6940940296 8676175370 10411410444 13014263055 17352350740 20822820888 26028526110 34704701480 52057052220 104114104440