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124114114435040 = 25510718673883051
BaseRepresentation
bin11100001110000110010001…
…101100111101011111100000
3121021110012020000220200001122
4130032012101230331133200
5112231441201243410130
61115545123111151412
735066643312660212
oct3416062154753740
9537405200820048
10124114114435040
1136601555a4a924
1211b06191975568
135433babc6c942
142291225bb45b2
15e5375da352e5
hex70e191b3d7e0

124114114435040 has 96 divisors (see below), whose sum is σ = 296118563336064. Its totient is φ = 49155312499200.

The previous prime is 124114114434997. The next prime is 124114114435043. The reversal of 124114114435040 is 40534411411421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124114114435043) 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, 30021515 + ... + 33904565.

It is an arithmetic number, because the mean of its divisors is an integer number (3084568368084).

Almost surely, 2124114114435040 is an apocalyptic number.

124114114435040 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 124114114435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148059281668032).

124114114435040 is an abundant number, since it is smaller than the sum of its proper divisors (172004448901024).

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

124114114435040 is a wasteful number, since it uses less digits than its factorization.

124114114435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885040 (or 3885032 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

Adding to 124114114435040 its reverse (40534411411421), we get a palindrome (164648525846461).

The spelling of 124114114435040 in words is "one hundred twenty-four trillion, one hundred fourteen billion, one hundred fourteen million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 1867 2140 3424 3734 4280 7468 8560 9335 14936 17120 18670 29872 37340 59744 74680 149360 199769 298720 399538 799076 998845 1598152 1997690 3196304 3883051 3995380 6392608 7766102 7990760 15532204 15981520 19415255 31064408 31963040 38830510 62128816 77661020 124257632 155322040 310644080 415486457 621288160 830972914 1661945828 2077432285 3323891656 4154864570 6647783312 7249656217 8309729140 13295566624 14499312434 16619458280 28998624868 33238916560 36248281085 57997249736 66477833120 72496562170 115994499472 144993124340 231988998944 289986248680 579972497360 775713215219 1159944994720 1551426430438 3102852860876 3878566076095 6205705721752 7757132152190 12411411443504 15514264304380 24822822887008 31028528608760 62057057217520 124114114435040