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140022104020020 = 223252302733782107
BaseRepresentation
bin11111110101100101101111…
…110001010101010000110100
3200100202222112011212002201100
4133311211233301111100310
5121323110232112120040
61213445133324530100
741331156161252115
oct3765455761252064
9610688464762640
10140022104020020
114068504a394692
121385527b3b0930
136019048c82ba1
14268116abc820c
15112c469d15b30
hex7f596fc55434

140022104020020 has 72 divisors (see below), whose sum is σ = 424752173131104. Its totient is φ = 37337605092288.

The previous prime is 140022104019911. The next prime is 140022104020037. The reversal of 140022104020020 is 20020401220041.

140022104020020 is a `hidden beast` number, since 1 + 40 + 0 + 221 + 0 + 402 + 0 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×1400221040200202 (a number of 29 digits) contains 22 as substring.

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 = 140022104019975 and 140022104020002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12746194 + ... + 21035913.

It is an arithmetic number, because the mean of its divisors is an integer number (5899335737932).

Almost surely, 2140022104020020 is an apocalyptic number.

140022104020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022104020020 is an abundant number, since it is smaller than the sum of its proper divisors (284730069111084).

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

140022104020020 is a wasteful number, since it uses less digits than its factorization.

140022104020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33805149 (or 33805144 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 140022104020020 its reverse (20020401220041), we get a palindrome (160042505240061).

The spelling of 140022104020020 in words is "one hundred forty trillion, twenty-two billion, one hundred four million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 23027 46054 69081 92108 115135 138162 207243 230270 276324 345405 414486 460540 690810 828972 1036215 1381620 2072430 4144860 33782107 67564214 101346321 135128428 168910535 202692642 304038963 337821070 405385284 506731605 608077926 675642140 1013463210 1216155852 1520194815 2026926420 3040389630 6080779260 777900577889 1555801155778 2333701733667 3111602311556 3889502889445 4667403467334 7001105201001 7779005778890 9334806934668 11668508668335 14002210402002 15558011557780 23337017336670 28004420804004 35005526005005 46674034673340 70011052010010 140022104020020