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104043767440 = 2451968449847
BaseRepresentation
bin110000011100101111…
…1011110011010010000
3100221112222201000100011
41200321133132122100
53201040201024230
6115444055004304
710342205300644
oct1407137363220
9327488630304
10104043767440
1140140aa3468
12181b8069694
139a71516742
145070128c24
152a8e257e2a
hex18397de690

104043767440 has 40 divisors (see below), whose sum is σ = 254633434560. Its totient is φ = 39427111296.

The previous prime is 104043767407. The next prime is 104043767441. The reversal of 104043767440 is 44767340401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 104043767393 and 104043767402.

It is not an unprimeable number, because it can be changed into a prime (104043767441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34223404 + ... + 34226443.

It is an arithmetic number, because the mean of its divisors is an integer number (6365835864).

Almost surely, 2104043767440 is an apocalyptic number.

104043767440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104043767440 is an abundant number, since it is smaller than the sum of its proper divisors (150589667120).

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

104043767440 is a wasteful number, since it uses less digits than its factorization.

104043767440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68449879 (or 68449873 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 104043767440 in words is "one hundred four billion, forty-three million, seven hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 68449847 136899694 273799388 342249235 547598776 684498470 1095197552 1300547093 1368996940 2601094186 2737993880 5202188372 5475987760 6502735465 10404376744 13005470930 20808753488 26010941860 52021883720 104043767440