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126300331125640 = 2357463974238901
BaseRepresentation
bin11100101101111010010110…
…010111110010101110001000
3121120012012020020022112120101
4130231322112113302232020
5113023301034232010030
61124341323210135144
735413616642144620
oct3455722627625610
9546165206275511
10126300331125640
1137274740306511
12121b9a254214b4
1355620bb0935a9
142328d7bd57880
15e90564da87ca
hex72de965f2b88

126300331125640 has 64 divisors (see below), whose sum is σ = 325473732380160. Its totient is φ = 43209443692800.

The previous prime is 126300331125607. The next prime is 126300331125643. The reversal of 126300331125640 is 46521133003621.

126300331125640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1263003311256403 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126300331125640.

It is not an unprimeable number, because it can be changed into a prime (126300331125643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486989811 + ... + 487249090.

It is an arithmetic number, because the mean of its divisors is an integer number (5085527068440).

Almost surely, 2126300331125640 is an apocalyptic number.

126300331125640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126300331125640 is an abundant number, since it is smaller than the sum of its proper divisors (199173401254520).

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

126300331125640 is a wasteful number, since it uses less digits than its factorization.

126300331125640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974239382 (or 974239378 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 126300331125640 in words is "one hundred twenty-six trillion, three hundred billion, three hundred thirty-one million, one hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 463 926 1852 2315 3241 3704 4630 6482 9260 12964 16205 18520 25928 32410 64820 129640 974238901 1948477802 3896955604 4871194505 6819672307 7793911208 9742389010 13639344614 19484778020 27278689228 34098361535 38969556040 54557378456 68196723070 136393446140 272786892280 451072611163 902145222326 1804290444652 2255363055815 3157508278141 3608580889304 4510726111630 6315016556282 9021452223260 12630033112564 15787541390705 18042904446520 25260066225128 31575082781410 63150165562820 126300331125640