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104424434240 = 2657291607519
BaseRepresentation
bin110000101000000101…
…1100110101001000000
3100222112111222220000112
41201100023212221000
53202330123343430
6115545534010452
710354510021460
oct1412013465100
9328474886015
10104424434240
1140316964025
12182a3646a28
139b02349279
1450a88d9ba0
152ab289d195
hex18502e6a40

104424434240 has 112 divisors (see below), whose sum is σ = 293983257600. Its totient is φ = 34568067072.

The previous prime is 104424434237. The next prime is 104424434251. The reversal of 104424434240 is 42434424401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 104424434197 and 104424434206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738800 + ... + 868719.

Almost surely, 2104424434240 is an apocalyptic number.

104424434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104424434240 is an abundant number, since it is smaller than the sum of its proper divisors (189558823360).

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

104424434240 is a wasteful number, since it uses less digits than its factorization.

104424434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607572 (or 1607562 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 104424434240 its reverse (42434424401), we get a palindrome (146858858641).

The spelling of 104424434240 in words is "one hundred four billion, four hundred twenty-four million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 4060 4640 6496 8120 9280 12992 16240 32480 64960 1607519 3215038 6430076 8037595 11252633 12860152 16075190 22505266 25720304 32150380 45010532 46618051 51440608 56263165 64300760 90021064 93236102 102881216 112526330 128601520 180042128 186472204 225052660 233090255 257203040 326326357 360084256 372944408 450105320 466180510 514406080 652652714 720168512 745888816 900210640 932361020 1305305428 1491777632 1631631785 1800421280 1864722040 2610610856 2983555264 3263263570 3600842560 3729444080 5221221712 6526527140 7458888160 10442443424 13053054280 14917776320 20884886848 26106108560 52212217120 104424434240