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314315155512240 = 24351309646481301
BaseRepresentation
bin100011101110111100011001…
…1001100010001101110110000
31112012220020100121120100201220
41013131320303030101232300
5312144214414302342430
63032254220011425040
7123130343364611061
oct10735706314215660
91465806317510656
10314315155512240
1191172344120033
122b304471755180
131064ca3acb258c
145788d12b4c568
1526510d26ed110
hex11dde33311bb0

314315155512240 has 40 divisors (see below), whose sum is σ = 974376982088688. Its totient is φ = 83817374803200.

The previous prime is 314315155512199. The next prime is 314315155512251. The reversal of 314315155512240 is 42215551513413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 314315155512192 and 314315155512201.

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, 654823240411 + ... + 654823240890.

Almost surely, 2314315155512240 is an apocalyptic number.

314315155512240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314315155512240 is an abundant number, since it is smaller than the sum of its proper divisors (660061826576448).

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

314315155512240 is a wasteful number, since it uses less digits than its factorization.

314315155512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309646481317 (or 1309646481311 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 314315155512240 in words is "three hundred fourteen trillion, three hundred fifteen billion, one hundred fifty-five million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1309646481301 2619292962602 3928939443903 5238585925204 6548232406505 7857878887806 10477171850408 13096464813010 15715757775612 19644697219515 20954343700816 26192929626020 31431515551224 39289394439030 52385859252040 62863031102448 78578788878060 104771718504080 157157577756120 314315155512240