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12320001440 = 255411878049
BaseRepresentation
bin10110111100101010…
…00100110110100000
31011210121020220210122
423132111010312200
5200212410021230
65354300215412
7614205166355
oct133625046640
934717226718
1012320001440
11525235747a
122479b3a568
1312145465a6
1484c31a62c
154c18d0be5
hex2de544da0

12320001440 has 48 divisors (see below), whose sum is σ = 29815921800. Its totient is φ = 4807802880.

The previous prime is 12320001433. The next prime is 12320001511. The reversal of 12320001440 is 4410002321.

It can be written as a sum of positive squares in 4 ways, for example, as 4193339536 + 8126661904 = 64756^2 + 90148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932465 + ... + 945584.

Almost surely, 212320001440 is an apocalyptic number.

12320001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320001440 is an abundant number, since it is smaller than the sum of its proper divisors (17495920360).

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

12320001440 is a wasteful number, since it uses less digits than its factorization.

12320001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878105 (or 1878097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12320001440 its reverse (4410002321), we get a palindrome (16730003761).

The spelling of 12320001440 in words is "twelve billion, three hundred twenty million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 1878049 3756098 7512196 9390245 15024392 18780490 30048784 37560980 60097568 75121960 77000009 150243920 154000018 300487840 308000036 385000045 616000072 770000090 1232000144 1540000180 2464000288 3080000360 6160000720 12320001440