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240664226440 = 23511719760729
BaseRepresentation
bin1110000000100010110…
…1001010101010001000
3212000012022012102101011
43200020231022222020
512420340020221230
6302320513333304
723246612113021
oct3401055125210
9760168172334
10240664226440
1193079755410
123a785b67234
1319904b96c21
14b910993c48
1563d8413e2a
hex3808b4aa88

240664226440 has 64 divisors (see below), whose sum is σ = 591543648000. Its totient is φ = 87392432640.

The previous prime is 240664226353. The next prime is 240664226477. The reversal of 240664226440 is 44622466042.

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

It is a junction number, because it is equal to n+sod(n) for n = 240664226393 and 240664226402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64005 + ... + 696724.

It is an arithmetic number, because the mean of its divisors is an integer number (9242869500).

Almost surely, 2240664226440 is an apocalyptic number.

240664226440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240664226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295771824000).

240664226440 is an abundant number, since it is smaller than the sum of its proper divisors (350879421560).

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

240664226440 is a wasteful number, since it uses less digits than its factorization.

240664226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761470 (or 761466 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 240664226440 in words is "two hundred forty billion, six hundred sixty-four million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 719 1438 2876 3595 5752 7190 7909 14380 15818 28760 31636 39545 63272 79090 158180 316360 760729 1521458 3042916 3803645 6085832 7607290 8368019 15214580 16736038 30429160 33472076 41840095 66944152 83680190 167360380 334720760 546964151 1093928302 2187856604 2734820755 4375713208 5469641510 6016605661 10939283020 12033211322 21878566040 24066422644 30083028305 48132845288 60166056610 120332113220 240664226440