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147140417424 = 2437111317192499
BaseRepresentation
bin1000100100001001000…
…0001001011110010000
3112001210110122200000210
42021002100021132100
54402320421324144
6151332333444120
713426163624550
oct2110220113620
9461713580023
10147140417424
1157446a25470
1224625040640
1310b4bcc0270
14719ba9b160
153c62a25ab9
hex2242409790

147140417424 has 960 divisors, whose sum is σ = 571463424000. Its totient is φ = 31392645120.

The previous prime is 147140417401. The next prime is 147140417467. The reversal of 147140417424 is 424714041741.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294870327 + ... + 294870825.

It is an arithmetic number, because the mean of its divisors is an integer number (595274400).

Almost surely, 2147140417424 is an apocalyptic number.

147140417424 is a gapful number since it is divisible by the number (14) 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 147140417424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712000).

147140417424 is an abundant number, since it is smaller than the sum of its proper divisors (424323006576).

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

147140417424 is a wasteful number, since it uses less digits than its factorization.

147140417424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 147140417424 in words is "one hundred forty-seven billion, one hundred forty million, four hundred seventeen thousand, four hundred twenty-four".