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4334331430044 = 22327111563611627
BaseRepresentation
bin111111000100101010010…
…010010000010010011100
3120100100200000021002001100
4333010222102100102130
51032003202321230134
613115055300513100
7625100526163320
oct77045222202234
916310600232040
104334331430044
1114211a8107450
125a00329ab790
13255958494795
1410dad5c75980
1577b2c684999
hex3f12a49049c

4334331430044 has 72 divisors (see below), whose sum is σ = 13659711182208. Its totient is φ = 1125800370720.

The previous prime is 4334331430031. The next prime is 4334331430057. The reversal of 4334331430044 is 4400341334334.

4334331430044 is a `hidden beast` number, since 4 + 3 + 34 + 3 + 314 + 300 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4334331430031) and next prime (4334331430057).

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 = 4334331429990 and 4334331430008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781803042 + ... + 781808585.

It is an arithmetic number, because the mean of its divisors is an integer number (189718210864).

Almost surely, 24334331430044 is an apocalyptic number.

4334331430044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4334331430044 is an abundant number, since it is smaller than the sum of its proper divisors (9325379752164).

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

4334331430044 is a wasteful number, since it uses less digits than its factorization.

4334331430044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563611655 (or 1563611650 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 4334331430044 its reverse (4400341334334), we get a palindrome (8734672764378).

The spelling of 4334331430044 in words is "four trillion, three hundred thirty-four billion, three hundred thirty-one million, four hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 1563611627 3127223254 4690834881 6254446508 9381669762 10945281389 14072504643 17199727897 18763339524 21890562778 28145009286 32835844167 34399455794 43781125556 51599183691 56290018572 65671688334 68798911588 98507532501 103198367382 120398095279 131343376668 154797551073 197015065002 206396734764 240796190558 309595102146 361194285837 394030130004 481592381116 619190204292 722388571674 1083582857511 1444777143348 2167165715022 4334331430044