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104412142423440 = 24325145016864477
BaseRepresentation
bin10111101111011001011000…
…101010001100110110010000
3111200200200222201200121210100
4113233121120222030312100
5102141142031430022230
61010022135343132400
730664346140015665
oct2757313052146620
9450620881617710
10104412142423440
11302a5a39419635
12b8639332a4100
13463503b08c947
141bad808c07a6c
15c10eed178660
hex5ef658a8cd90

104412142423440 has 60 divisors (see below), whose sum is σ = 350650778307804. Its totient is φ = 27843237979392.

The previous prime is 104412142423429. The next prime is 104412142423493. The reversal of 104412142423440 is 44324241214401.

104412142423440 is a `hidden beast` number, since 1 + 0 + 4 + 412 + 1 + 4 + 2 + 4 + 234 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19696980144384 + 84715162279056 = 4438128^2 + 9204084^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1044121424234402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104412142423395 and 104412142423404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72508431519 + ... + 72508432958.

Almost surely, 2104412142423440 is an apocalyptic number.

104412142423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104412142423440 is an abundant number, since it is smaller than the sum of its proper divisors (246238635884364).

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

104412142423440 is a wasteful number, since it uses less digits than its factorization.

104412142423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145016864496 (or 145016864487 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 104412142423440 its reverse (44324241214401), we get a palindrome (148736383637841).

The spelling of 104412142423440 in words is "one hundred four trillion, four hundred twelve billion, one hundred forty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 145016864477 290033728954 435050593431 580067457908 725084322385 870101186862 1160134915816 1305151780293 1450168644770 1740202373724 2175252967155 2320269831632 2610303560586 2900337289540 3480404747448 4350505934310 5220607121172 5800674579080 6525758901465 6960809494896 8701011868620 10441214242344 11601349158160 13051517802930 17402023737240 20882428484688 26103035605860 34804047474480 52206071211720 104412142423440