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238081540096 = 2189532
BaseRepresentation
bin1101110110111011000…
…1000000000000000000
3211202112022102100202101
43131232301000000000
512400042333240341
6301212333400144
723125611462151
oct3355661000000
9752468370671
10238081540096
1191a73905994
123a185039054
13195b2aa675a
14b74797b928
1562d6803831
hex376ec40000

238081540096 has 57 divisors (see below), whose sum is σ = 476662341781. Its totient is φ = 118915858432.

The previous prime is 238081540069. The next prime is 238081540097. The reversal of 238081540096 is 690045180832.

The square root of 238081540096 is 487936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99149414400 + 138932125696 = 314880^2 + 372736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238081540097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 249822756 + ... + 249823708.

Almost surely, 2238081540096 is an apocalyptic number.

238081540096 is the 487936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238081540096

238081540096 is an abundant number, since it is smaller than the sum of its proper divisors (238580801685).

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

238081540096 is an frugal number, since it uses more digits than its factorization.

238081540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 238081540096 in words is "two hundred thirty-eight billion, eighty-one million, five hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 953 1024 1906 2048 3812 4096 7624 8192 15248 16384 30496 32768 60992 65536 121984 131072 243968 262144 487936 908209 975872 1816418 1951744 3632836 3903488 7265672 7806976 14531344 15613952 29062688 31227904 58125376 62455808 116250752 124911616 232501504 249823232 465003008 930006016 1860012032 3720024064 7440048128 14880096256 29760192512 59520385024 119040770048 238081540096