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2123572330440 = 23325111931910451
BaseRepresentation
bin11110111001101110110…
…001100011111111001000
321112000022101222122120100
4132321232301203333020
5234243034004033230
64303320004525400
7306265046661021
oct36715661437710
97460271878510
102123572330440
11749669245710
122a36900b0860
13125337891522
1474ad2421c48
153a38b8cb660
hex1ee6ec63fc8

2123572330440 has 384 divisors, whose sum is σ = 8180957491200. Its totient is φ = 471977280000.

The previous prime is 2123572330427. The next prime is 2123572330447. The reversal of 2123572330440 is 440332753212.

2123572330440 is a `hidden beast` number, since 2 + 12 + 3 + 572 + 3 + 30 + 4 + 40 = 666.

It is a super-2 number, since 2×21235723304402 (a number of 25 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 = 2123572330395 and 2123572330404.

It is not an unprimeable number, because it can be changed into a prime (2123572330447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1877215 + ... + 2787665.

It is an arithmetic number, because the mean of its divisors is an integer number (21304576800).

Almost surely, 22123572330440 is an apocalyptic number.

2123572330440 is a gapful number since it is divisible by the number (20) 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 2123572330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090478745600).

2123572330440 is an abundant number, since it is smaller than the sum of its proper divisors (6057385160760).

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

2123572330440 is a wasteful number, since it uses less digits than its factorization.

2123572330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910529 (or 910522 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 2123572330440 in words is "two trillion, one hundred twenty-three billion, five hundred seventy-two million, three hundred thirty thousand, four hundred forty".