Search a number
-
+
238344056320 = 295876110627
BaseRepresentation
bin1101110111111001101…
…0011010111000000000
3211210012121101120022111
43131332122122320000
512401112034300240
6301254352145104
723135250023446
oct3357632327000
9753177346274
10238344056320
1192099008247
123a238b38194
13196252ac0b6
14b770794b96
1562ee8ab1ea
hex377e69ae00

238344056320 has 80 divisors (see below), whose sum is σ = 571586125968. Its totient is φ = 95317770240.

The previous prime is 238344056281. The next prime is 238344056407. The reversal of 238344056320 is 23650443832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22422847 + ... + 22433473.

Almost surely, 2238344056320 is an apocalyptic number.

238344056320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238344056320 is an abundant number, since it is smaller than the sum of its proper divisors (333242069648).

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

238344056320 is an equidigital number, since it uses as much as digits as its factorization.

238344056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19411 (or 19395 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 238344056320 in words is "two hundred thirty-eight billion, three hundred forty-four million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 8761 10627 17522 21254 35044 42508 43805 53135 70088 85016 87610 106270 140176 170032 175220 212540 280352 340064 350440 425080 560704 680128 700880 850160 1121408 1360256 1401760 1700320 2242816 2720512 2803520 3400640 4485632 5441024 5607040 6801280 11214080 13602560 22428160 27205120 93103147 186206294 372412588 465515735 744825176 931031470 1489650352 1862062940 2979300704 3724125880 5958601408 7448251760 11917202816 14896503520 23834405632 29793007040 47668811264 59586014080 119172028160 238344056320