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124131440340 = 223251249552137
BaseRepresentation
bin111001110011011001…
…1110111011011010100
3102212101221012112012100
41303212303313123110
54013210122042330
6133005235322100
711653043555655
oct1634663673324
9385357175170
10124131440340
1148709a64426
1220083450330
13b92310a01b
146017d1352c
153367a41060
hex1ce6cf76d4

124131440340 has 72 divisors (see below), whose sum is σ = 376834185000. Its totient is φ = 33075154944.

The previous prime is 124131440299. The next prime is 124131440351. The reversal of 124131440340 is 43044131421.

124131440340 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 314 + 4 + 0 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3973537296 + 120157903044 = 63036^2 + 346638^2 .

It is a super-2 number, since 2×1241314403402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51249 + ... + 500888.

It is an arithmetic number, because the mean of its divisors is an integer number (5233808125).

Almost surely, 2124131440340 is an apocalyptic number.

124131440340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124131440340 is an abundant number, since it is smaller than the sum of its proper divisors (252702744660).

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

124131440340 is a wasteful number, since it uses less digits than its factorization.

124131440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553401 (or 553396 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124131440340 its reverse (43044131421), we get a palindrome (167175571761).

The spelling of 124131440340 in words is "one hundred twenty-four billion, one hundred thirty-one million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1249 2498 3747 4996 6245 7494 11241 12490 14988 18735 22482 24980 37470 44964 56205 74940 112410 224820 552137 1104274 1656411 2208548 2760685 3312822 4969233 5521370 6625644 8282055 9938466 11042740 16564110 19876932 24846165 33128220 49692330 99384660 689619113 1379238226 2068857339 2758476452 3448095565 4137714678 6206572017 6896191130 8275429356 10344286695 12413144034 13792382260 20688573390 24826288068 31032860085 41377146780 62065720170 124131440340