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374738242140 = 2232583127313631
BaseRepresentation
bin1010111010000000010…
…00111100101001011100
31022211021011010002220100
411131000020330221130
522114430442222030
6444052525021100
736034235334123
oct5350010745134
91284234102810
10374738242140
11134a1aa71869
12607630b4790
1329450b06722
14141cd15caba
159b33c6d360
hex574023ca5c

374738242140 has 288 divisors, whose sum is σ = 1165007241216. Its totient is φ = 97481180160.

The previous prime is 374738242133. The next prime is 374738242141. The reversal of 374738242140 is 41242837473.

374738242140 is a `hidden beast` number, since 37 + 473 + 8 + 2 + 4 + 2 + 140 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374738242141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593879625 + ... + 593880255.

It is an arithmetic number, because the mean of its divisors is an integer number (4045164032).

Almost surely, 2374738242140 is an apocalyptic number.

374738242140 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 374738242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582503620608).

374738242140 is an abundant number, since it is smaller than the sum of its proper divisors (790268999076).

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

374738242140 is a wasteful number, since it uses less digits than its factorization.

374738242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 374738242140 in words is "three hundred seventy-four billion, seven hundred thirty-eight million, two hundred forty-two thousand, one hundred forty".