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315022144140 = 223351153034031
BaseRepresentation
bin1001001010110001100…
…10000111001010001100
31010010010102202000111000
410211120302013022030
520130131132103030
6400415201500300
731521354021054
oct4453062071214
91103112660430
10315022144140
11111666873560
1251078341690
132392512bcb2
141136628c564
1582db3e9860
hex4958c8728c

315022144140 has 96 divisors (see below), whose sum is σ = 1069166085120. Its totient is φ = 76369003200.

The previous prime is 315022144139. The next prime is 315022144141. The reversal of 315022144140 is 41441220513.

315022144140 is a `hidden beast` number, since 3 + 1 + 502 + 2 + 14 + 4 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (315022144139) and next prime (315022144141).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315022144141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26511076 + ... + 26522955.

It is an arithmetic number, because the mean of its divisors is an integer number (11137146720).

Almost surely, 2315022144140 is an apocalyptic number.

315022144140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315022144140 is an abundant number, since it is smaller than the sum of its proper divisors (754143940980).

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

315022144140 is a wasteful number, since it uses less digits than its factorization.

315022144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53034060 (or 53034052 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 315022144140 its reverse (41441220513), we get a palindrome (356463364653).

The spelling of 315022144140 in words is "three hundred fifteen billion, twenty-two million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 53034031 106068062 159102093 212136124 265170155 318204186 477306279 530340310 583374341 636408372 795510465 954612558 1060680620 1166748682 1431918837 1591020930 1750123023 1909225116 2333497364 2386531395 2863837674 2916871705 3182041860 3500246046 4773062790 5250369069 5727675348 5833743410 7000492092 7159594185 8750615115 9546125580 10500738138 11667486820 14319188370 15751107207 17501230230 21001476276 26251845345 28638376740 31502214414 35002460460 52503690690 63004428828 78755536035 105007381380 157511072070 315022144140