Search a number
-
+
381406232224 = 2561195392537
BaseRepresentation
bin1011000110011011001…
…01010011111010100000
31100110110212010002201001
411203031211103322200
522222104443412344
6451114323121344
736361413324343
oct5431545237240
91313425102631
10381406232224
11137831969476
1261b04213254
1329c743b4aa4
141466297245a
159dc4353ed4
hex58cd953ea0

381406232224 has 24 divisors (see below), whose sum is σ = 763203253428. Its totient is φ = 187576834560.

The previous prime is 381406232219. The next prime is 381406232231. The reversal of 381406232224 is 422232604183.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 270296010000 + 111110222224 = 519900^2 + 333332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97694317 + ... + 97698220.

Almost surely, 2381406232224 is an apocalyptic number.

It is an amenable number.

381406232224 is an abundant number, since it is smaller than the sum of its proper divisors (381797021204).

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

381406232224 is a wasteful number, since it uses less digits than its factorization.

381406232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195392608 (or 195392600 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 381406232224 in words is "three hundred eighty-one billion, four hundred six million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 195392537 390785074 781570148 1563140296 3126280592 6252561184 11918944757 23837889514 47675779028 95351558056 190703116112 381406232224