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238190340240 = 24325330819917
BaseRepresentation
bin1101110111010101000…
…0000010100010010000
3211202210220010222111100
43131311100002202100
512400303211341430
6301231221344400
723131402325556
oct3356520024220
9752726128440
10238190340240
119201a268066
123a1b5568100
13195cc4ab938
14b7581bdbd6
1562e1145960
hex3775402890

238190340240 has 60 divisors (see below), whose sum is σ = 799922561724. Its totient is φ = 63517423872.

The previous prime is 238190340233. The next prime is 238190340257. The reversal of 238190340240 is 42043091832.

238190340240 is a `hidden beast` number, since 2 + 381 + 9 + 0 + 34 + 0 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77126176656 + 161064163584 = 277716^2 + 401328^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 238190340195 and 238190340204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165409239 + ... + 165410678.

Almost surely, 2238190340240 is an apocalyptic number.

238190340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238190340240 is an abundant number, since it is smaller than the sum of its proper divisors (561732221484).

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

238190340240 is a wasteful number, since it uses less digits than its factorization.

238190340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330819936 (or 330819927 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 238190340240 in words is "two hundred thirty-eight billion, one hundred ninety million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 330819917 661639834 992459751 1323279668 1654099585 1984919502 2646559336 2977379253 3308199170 3969839004 4962298755 5293118672 5954758506 6616398340 7939678008 9924597510 11909517012 13232796680 14886896265 15879356016 19849195020 23819034024 26465593360 29773792530 39698390040 47638068048 59547585060 79396780080 119095170120 238190340240