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2122342103440 = 245132040713561
BaseRepresentation
bin11110111000100101011…
…100100111100110010000
321111220010200002122101101
4132320211130213212100
5234233024034302230
64302553540514144
7306222421140256
oct36704534474620
97456120078341
102122342103440
11749097873989
122a33a80ab954
1312519ca45960
1474a16ca45d6
153a3188beaca
hex1ee25727990

2122342103440 has 40 divisors (see below), whose sum is σ = 5314018115448. Its totient is φ = 783634007040.

The previous prime is 2122342103389. The next prime is 2122342103611. The reversal of 2122342103440 is 443012432212.

It can be written as a sum of positive squares in 4 ways, for example, as 6469306624 + 2115872796816 = 80432^2 + 1454604^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2122342103399 and 2122342103408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020355741 + ... + 1020357820.

Almost surely, 22122342103440 is an apocalyptic number.

2122342103440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122342103440 is an abundant number, since it is smaller than the sum of its proper divisors (3191676012008).

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

2122342103440 is a wasteful number, since it uses less digits than its factorization.

2122342103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040713587 (or 2040713581 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2122342103440 its reverse (443012432212), we get a palindrome (2565354535652).

The spelling of 2122342103440 in words is "two trillion, one hundred twenty-two billion, three hundred forty-two million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2040713561 4081427122 8162854244 10203567805 16325708488 20407135610 26529276293 32651416976 40814271220 53058552586 81628542440 106117105172 132646381465 163257084880 212234210344 265292762930 424468420688 530585525860 1061171051720 2122342103440