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2042210014104 = 2331341839190283
BaseRepresentation
bin11101101101111101001…
…100111101001110011000
321020020022010102201212210
4131231331030331032120
5231424421230422404
64202102304035120
7300354603463461
oct35557514751630
97206263381783
102042210014104
11718107349167
1228b964002aa0
1311a76c443390
1470bb4783d68
15381c8a0d689
hex1db7d33d398

2042210014104 has 128 divisors (see below), whose sum is σ = 5639104396800. Its totient is φ = 612312253440.

The previous prime is 2042210014099. The next prime is 2042210014111. The reversal of 2042210014104 is 4014100122402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10637347 + ... + 10827629.

It is an arithmetic number, because the mean of its divisors is an integer number (44055503100).

Almost surely, 22042210014104 is an apocalyptic number.

2042210014104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042210014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819552198400).

2042210014104 is an abundant number, since it is smaller than the sum of its proper divisors (3596894382696).

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

2042210014104 is a wasteful number, since it uses less digits than its factorization.

2042210014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191185 (or 191181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2042210014104 its reverse (4014100122402), we get a palindrome (6056310136506).

The spelling of 2042210014104 in words is "two trillion, forty-two billion, two hundred ten million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 839 984 1066 1599 1678 2132 2517 3198 3356 4264 5034 6396 6712 10068 10907 12792 20136 21814 32721 34399 43628 65442 68798 87256 103197 130884 137596 190283 206394 261768 275192 380566 412788 447187 570849 761132 825576 894374 1141698 1341561 1522264 1788748 2283396 2473679 2683122 3577496 4566792 4947358 5366244 7421037 7801603 9894716 10732488 14842074 15603206 19789432 23404809 29684148 31206412 46809618 59368296 62412824 93619236 101420839 159647437 187238472 202841678 304262517 319294874 405683356 478942311 608525034 638589748 811366712 957884622 1217050068 1277179496 1915769244 2075416681 2434100136 3831538488 4150833362 6226250043 6545544917 8301666724 12452500086 13091089834 16603333448 19636634751 24905000172 26182179668 39273269502 49810000344 52364359336 78546539004 85092083921 157093078008 170184167842 255276251763 340368335684 510552503526 680736671368 1021105007052 2042210014104