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4145251320 = 23325711314557
BaseRepresentation
bin1111011100010011…
…1000001111111000
3101200220000120210200
43313010320033320
531442141020240
61523155042200
7204503024550
oct36704701770
911626016720
104145251320
111837982741
129782a0360
13510a4a042
142b4764160
15193db7930
hexf71383f8

4145251320 has 192 divisors, whose sum is σ = 15533968320. Its totient is φ = 939036672.

The previous prime is 4145251301. The next prime is 4145251349. The reversal of 4145251320 is 231525414.

4145251320 is a `hidden beast` number, since 4 + 1 + 4 + 525 + 132 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277482 + ... + 292038.

It is an arithmetic number, because the mean of its divisors is an integer number (80906085).

Almost surely, 24145251320 is an apocalyptic number.

4145251320 is a gapful number since it is divisible by the number (40) 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 4145251320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766984160).

4145251320 is an abundant number, since it is smaller than the sum of its proper divisors (11388717000).

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

4145251320 is a wasteful number, since it uses less digits than its factorization.

4145251320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14694 (or 14687 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4145251320 is about 64383.6261793323. The cubic root of 4145251320 is about 1606.3873990678.

Adding to 4145251320 its reverse (231525414), we get a palindrome (4376776734).

The spelling of 4145251320 in words is "four billion, one hundred forty-five million, two hundred fifty-one thousand, three hundred twenty".