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140124041114100 = 223526155571377911
BaseRepresentation
bin11111110111000100101011…
…101100011111000111110100
3200101010201122100111000111020
4133313010223230133013310
5121331243014011122400
61214004032410341140
741341425236253201
oct3767045354370764
9611121570430436
10140124041114100
11407142aa20118a
1213870b89a2a7b0
136025842bb3134
14268607b20aca8
15112ee341392a0
hex7f712bb1f1f4

140124041114100 has 144 divisors (see below), whose sum is σ = 412146332363136. Its totient is φ = 36747206208000.

The previous prime is 140124041114069. The next prime is 140124041114117. The reversal of 140124041114100 is 1411140421041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101004145 + ... + 102382055.

Almost surely, 2140124041114100 is an apocalyptic number.

140124041114100 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 140124041114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206073166181568).

140124041114100 is an abundant number, since it is smaller than the sum of its proper divisors (272022291249036).

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

140124041114100 is a wasteful number, since it uses less digits than its factorization.

140124041114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383546 (or 1383539 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 140124041114100 its reverse (1411140421041), we get a palindrome (141535181535141).

The spelling of 140124041114100 in words is "one hundred forty trillion, one hundred twenty-four billion, forty-one million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 5557 6100 9150 11114 16671 18300 22228 27785 33342 55570 66684 83355 111140 138925 166710 277850 333420 338977 416775 555700 677954 833550 1016931 1355908 1377911 1667100 1694885 2033862 2755822 3389770 4067724 4133733 5084655 5511644 6779540 6889555 8267466 8474425 10169310 13779110 16534932 16948850 20338620 20668665 25423275 27558220 33897700 34447775 41337330 50846550 68895550 82674660 84052571 101693100 103343325 137791100 168105142 206686650 252157713 336210284 413373300 420262855 504315426 840525710 1008630852 1260788565 1681051420 2101314275 2521577130 4202628550 5043154260 6303942825 7657051427 8405257100 12607885650 15314102854 22971154281 25215771300 30628205708 38285257135 45942308562 76570514270 91884617124 114855771405 153141028540 191426285675 229711542810 382852571350 459423085620 467080137047 574278857025 765705142700 934160274094 1148557714050 1401240411141 1868320548188 2297115428100 2335400685235 2802480822282 4670801370470 5604961644564 7006202055705 9341602740940 11677003426175 14012404111410 23354006852350 28024808222820 35031010278525 46708013704700 70062020557050 140124041114100