Search a number
-
+
315572923081140 = 22351713811086120627
BaseRepresentation
bin100011111000000110000101…
…1111110110010000110110100
31112101100110212121011000201020
41013300030023332302012310
5312330321321302044030
63035100111031501140
7123320251134550254
oct10760141376620664
91471313777130636
10315572923081140
11916077a81236aa
122b4881915277b0
131071152567c3ca
1457cdb4d449964
152673b98b65510
hex11f030bfb21b4

315572923081140 has 192 divisors, whose sum is σ = 936389965448448. Its totient is φ = 79134140620800.

The previous prime is 315572923081121. The next prime is 315572923081223. The reversal of 315572923081140 is 41180329275513.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 15299011507 + ... + 15299032133.

It is an arithmetic number, because the mean of its divisors is an integer number (4877031070044).

Almost surely, 2315572923081140 is an apocalyptic number.

315572923081140 is a gapful number since it is divisible by the number (30) 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 315572923081140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468194982724224).

315572923081140 is an abundant number, since it is smaller than the sum of its proper divisors (620817042367308).

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

315572923081140 is a wasteful number, since it uses less digits than its factorization.

315572923081140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32898 (or 32896 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 315572923081140 in words is "three hundred fifteen trillion, five hundred seventy-two billion, nine hundred twenty-three million, eighty-one thousand, one hundred forty".