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2522142454440 = 2335753541104717
BaseRepresentation
bin100100101100111011011…
…001111011001010101000
322221010002102222210102210
4210230323121323022220
5312310321432020230
65210353425525120
7350135020065240
oct44547331731250
98833072883383
102522142454440
118926a8733004
123489844a37a0
13153ab5bc069b
148a102736b20
15459179cceb0
hex24b3b67b2a8

2522142454440 has 256 divisors, whose sum is σ = 8826872901120. Its totient is φ = 564561653760.

The previous prime is 2522142454367. The next prime is 2522142454451. The reversal of 2522142454440 is 444542412252.

It is a super-2 number, since 2×25221424544402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24032962 + ... + 24137678.

It is an arithmetic number, because the mean of its divisors is an integer number (34479972270).

Almost surely, 22522142454440 is an apocalyptic number.

2522142454440 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 2522142454440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413436450560).

2522142454440 is an abundant number, since it is smaller than the sum of its proper divisors (6304730446680).

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

2522142454440 is a wasteful number, since it uses less digits than its factorization.

2522142454440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105332 (or 105328 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 39.

Adding to 2522142454440 its reverse (444542412252), we get a palindrome (2966684866692).

The spelling of 2522142454440 in words is "two trillion, five hundred twenty-two billion, one hundred forty-two million, four hundred fifty-four thousand, four hundred forty".