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240331000272 = 243113114682979
BaseRepresentation
bin1101111111010011011…
…0000000100111010000
3211222100002011210000020
43133310312000213100
512414144214002042
6302223451223440
723235424540116
oct3376466004720
9758302153006
10240331000272
1192a18647690
123a6b2447b80
1319880b3488c
14b8bc611ab6
1563b90403ec
hex37f4d809d0

240331000272 has 80 divisors (see below), whose sum is σ = 699144775680. Its totient is φ = 70478294400.

The previous prime is 240331000219. The next prime is 240331000279. The reversal of 240331000272 is 272000133042.

240331000272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240331000279) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7325122 + ... + 7357857.

It is an arithmetic number, because the mean of its divisors is an integer number (8739309696).

Almost surely, 2240331000272 is an apocalyptic number.

240331000272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

240331000272 is an abundant number, since it is smaller than the sum of its proper divisors (458813775408).

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

240331000272 is a wasteful number, since it uses less digits than its factorization.

240331000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14683032 (or 14683026 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 240331000272 in words is "two hundred forty billion, three hundred thirty-one million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 14682979 29365958 44048937 58731916 88097874 117463832 161512769 176195748 234927664 323025538 352391496 455172349 484538307 646051076 704782992 910344698 969076614 1292102152 1365517047 1820689396 1938153228 2584204304 2731034094 3641378792 3876306456 5006895839 5462068188 7282757584 7752612912 10013791678 10924136376 15020687517 20027583356 21848272752 30041375034 40055166712 60082750068 80110333424 120165500136 240331000272