Search a number
-
+
147427905240 = 2332572112172239
BaseRepresentation
bin1000100101001101100…
…0110100111011011000
3112002112111121120011200
42021103120310323120
54403413020431430
6151421043354200
713436254342500
oct2112330647330
9462474546150
10147427905240
1157584233300
12246a5382960
1310b96729bb5
1471c7d34a00
153c7cdb2460
hex2253634ed8

147427905240 has 1296 divisors, whose sum is σ = 653524653600. Its totient is φ = 28711710720.

The previous prime is 147427905173. The next prime is 147427905263. The reversal of 147427905240 is 42509724741.

147427905240 is a `hidden beast` number, since 1 + 474 + 2 + 7 + 90 + 52 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 616853041 + ... + 616853279.

It is an arithmetic number, because the mean of its divisors is an integer number (504262850).

Almost surely, 2147427905240 is an apocalyptic number.

147427905240 is a gapful number since it is divisible by the number (10) 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 147427905240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326762326800).

147427905240 is an abundant number, since it is smaller than the sum of its proper divisors (506096748360).

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

147427905240 is a wasteful number, since it uses less digits than its factorization.

147427905240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 147427905240 in words is "one hundred forty-seven billion, four hundred twenty-seven million, nine hundred five thousand, two hundred forty".