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381232298304 = 26341113317179
BaseRepresentation
bin1011000110000110011…
…01110011100101000000
31100110000201211100020000
411203003031303211000
522221230432021204
6451045151120000
736354202032354
oct5430315634500
91313021740200
10381232298304
1113775276a330
1261a75b13000
1329c47356000
1414647817464
159db3e48039
hex58c3373940

381232298304 has 1120 divisors, whose sum is σ = 1421976124800. Its totient is φ = 99804856320.

The previous prime is 381232298281. The next prime is 381232298327. The reversal of 381232298304 is 403892232183.

381232298304 is a `hidden beast` number, since 3 + 8 + 12 + 322 + 9 + 8 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (381232298281) and next prime (381232298327).

It is a self number, because there is not a number n which added to its sum of digits gives 381232298304.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2129789287 + ... + 2129789465.

It is an arithmetic number, because the mean of its divisors is an integer number (1269621540).

Almost surely, 2381232298304 is an apocalyptic number.

381232298304 is a gapful number since it is divisible by the number (34) 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 381232298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710988062400).

381232298304 is an abundant number, since it is smaller than the sum of its proper divisors (1040743826496).

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

381232298304 is a wasteful number, since it uses less digits than its factorization.

381232298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 381232298304 in words is "three hundred eighty-one billion, two hundred thirty-two million, two hundred ninety-eight thousand, three hundred four".