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124140412240 = 24513859138959
BaseRepresentation
bin111001110011101011…
…0000101110101010000
3102212102120002100022221
41303213112011311100
54013214421142430
6133010155510424
711653213044055
oct1634726056520
9385376070287
10124140412240
1148714032119
1220086458414
13b924c2b940
1460191ab02c
15336871457a
hex1ce7585d50

124140412240 has 80 divisors (see below), whose sum is σ = 311192582400. Its totient is φ = 45782770176.

The previous prime is 124140412219. The next prime is 124140412243. The reversal of 124140412240 is 42214041421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1241404122402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124140412243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823881 + ... + 962839.

It is an arithmetic number, because the mean of its divisors is an integer number (3889907280).

Almost surely, 2124140412240 is an apocalyptic number.

124140412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124140412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155596291200).

124140412240 is an abundant number, since it is smaller than the sum of its proper divisors (187052170160).

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

124140412240 is a wasteful number, since it uses less digits than its factorization.

124140412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139844 (or 139838 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 124140412240 its reverse (42214041421), we get a palindrome (166354453661).

The spelling of 124140412240 in words is "one hundred twenty-four billion, one hundred forty million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 859 1040 1718 3436 4295 6872 8590 11167 13744 17180 22334 34360 44668 55835 68720 89336 111670 138959 178672 223340 277918 446680 555836 694795 893360 1111672 1389590 1806467 2223344 2779180 3612934 5558360 7225868 9032335 11116720 14451736 18064670 28903472 36129340 72258680 119365781 144517360 238731562 477463124 596828905 954926248 1193657810 1551755153 1909852496 2387315620 3103510306 4774631240 6207020612 7758775765 9549262480 12414041224 15517551530 24828082448 31035103060 62070206120 124140412240