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240242318016 = 2636197211469
BaseRepresentation
bin1101111110111110001…
…1101101101011000000
3211222002220022020211020
43133233203231223000
512414004013134031
6302211002345440
723233300003221
oct3375743555300
9758086266736
10240242318016
1192982586368
123a6887bb280
131986865467c
14b8b0929248
1563b1374096
hex37ef8edac0

240242318016 has 112 divisors (see below), whose sum is σ = 652724993760. Its totient is φ = 77955563520.

The previous prime is 240242318009. The next prime is 240242318021. The reversal of 240242318016 is 610813242042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030330 + ... + 1241798.

It is an arithmetic number, because the mean of its divisors is an integer number (5827901730).

Almost surely, 2240242318016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240242318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326362496880).

240242318016 is an abundant number, since it is smaller than the sum of its proper divisors (412482675744).

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

240242318016 is a wasteful number, since it uses less digits than its factorization.

240242318016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211642 (or 211632 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 240242318016 in words is "two hundred forty billion, two hundred forty-two million, three hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 97 122 183 192 194 244 291 366 388 488 582 732 776 976 1164 1464 1552 1952 2328 2928 3104 3904 4656 5856 5917 6208 9312 11712 11834 17751 18624 23668 35502 47336 71004 94672 142008 189344 211469 284016 378688 422938 568032 634407 845876 1136064 1268814 1691752 2537628 3383504 5075256 6767008 10150512 12899609 13534016 20301024 20512493 25799218 38698827 40602048 41024986 51598436 61537479 77397654 82049972 103196872 123074958 154795308 164099944 206393744 246149916 309590616 328199888 412787488 492299832 619181232 656399776 825574976 984599664 1238362464 1251262073 1312799552 1969199328 2476724928 2502524146 3753786219 3938398656 5005048292 7507572438 10010096584 15015144876 20020193168 30030289752 40040386336 60060579504 80080772672 120121159008 240242318016