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525144353140 = 2251123677121817
BaseRepresentation
bin1111010010001010000…
…10101110100101110100
31212012111012202012100001
413221011002232211310
532100443423300030
61041125322001044
752640365231351
oct7510502564564
91765435665301
10525144353140
1119279232a140
1285939946184
133a6a0556b44
141b5ba825628
15d9d831bcca
hex7a450ae974

525144353140 has 192 divisors, whose sum is σ = 1292105945088. Its totient is φ = 177390259200.

The previous prime is 525144353093. The next prime is 525144353147. The reversal of 525144353140 is 41353441525.

It is a self number, because there is not a number n which added to its sum of digits gives 525144353140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525144353147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24059512 + ... + 24081328.

It is an arithmetic number, because the mean of its divisors is an integer number (6729718464).

Almost surely, 2525144353140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525144353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646052972544).

525144353140 is an abundant number, since it is smaller than the sum of its proper divisors (766961591948).

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

525144353140 is a wasteful number, since it uses less digits than its factorization.

525144353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21998 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 525144353140 its reverse (41353441525), we get a palindrome (566497794665).

The spelling of 525144353140 in words is "five hundred twenty-five billion, one hundred forty-four million, three hundred fifty-three thousand, one hundred forty".