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140223130000020 = 223352251115358713
BaseRepresentation
bin11111111000100000111101…
…110110100101101010010100
3200101111012102000200222012000
4133320200331312211222110
5121334403432240000040
61214121341105155300
741351533611013344
oct3770407566455224
9611435360628160
10140223130000020
1140752328303841
121388822262bb30
136031ca4a07502
14268ab9b25ad24
1511327d339e130
hex7f883dda5a94

140223130000020 has 96 divisors (see below), whose sum is σ = 436443544199040. Its totient is φ = 37376222688000.

The previous prime is 140223129999977. The next prime is 140223130000021. The reversal of 140223130000020 is 20000031322041.

140223130000020 is a `hidden beast` number, since 1 + 402 + 231 + 30 + 0 + 0 + 0 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140223129999948 and 140223130000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140223130000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56463817 + ... + 58894896.

It is an arithmetic number, because the mean of its divisors is an integer number (4546286918740).

Almost surely, 2140223130000020 is an apocalyptic number.

140223130000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140223130000020 is an abundant number, since it is smaller than the sum of its proper divisors (296220414199020).

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

140223130000020 is a wasteful number, since it uses less digits than its factorization.

140223130000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115360982 (or 115360974 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 140223130000020 its reverse (20000031322041), we get a palindrome (160223161322061).

The spelling of 140223130000020 in words is "one hundred forty trillion, two hundred twenty-three billion, one hundred thirty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2251 4502 6753 9004 11255 13506 20259 22510 27012 33765 40518 45020 60777 67530 81036 101295 121554 135060 202590 243108 303885 405180 607770 1215540 115358713 230717426 346076139 461434852 576793565 692152278 1038228417 1153587130 1384304556 1730380695 2076456834 2307174260 3114685251 3460761390 4152913668 5191142085 6229370502 6921522780 10382284170 12458741004 15573426255 20764568340 31146852510 62293705020 259672462963 519344925926 779017388889 1038689851852 1298362314815 1558034777778 2337052166667 2596724629630 3116069555556 3895086944445 4674104333334 5193449259260 7011156500001 7790173888890 9348208666668 11685260833335 14022313000002 15580347777780 23370521666670 28044626000004 35055782500005 46741043333340 70111565000010 140223130000020