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140042231100222 = 2311532231301137993
BaseRepresentation
bin11111110101111000011111…
…011100000011001100111110
3200100211220110212111201020020
4133311320133130003030332
5121323422442130201342
61213502302434033010
741332501015516203
oct3765703734031476
9610756425451206
10140042231100222
1140692638620970
1213859157a18766
13601ac05a932b9
142682119d0dcaa
15112cc46cd50ec
hex7f5e1f70333e

140042231100222 has 128 divisors (see below), whose sum is σ = 312950361894912. Its totient is φ = 41417470848000.

The previous prime is 140042231100173. The next prime is 140042231100229. The reversal of 140042231100222 is 222001132240041.

It is a super-2 number, since 2×1400422311002222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140042231100192 and 140042231100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140042231100229) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1014781258 + ... + 1014919250.

It is an arithmetic number, because the mean of its divisors is an integer number (2444924702304).

Almost surely, 2140042231100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140042231100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156475180947456).

140042231100222 is an abundant number, since it is smaller than the sum of its proper divisors (172908130794690).

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

140042231100222 is a wasteful number, since it uses less digits than its factorization.

140042231100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139586.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140042231100222 its reverse (222001132240041), we get a palindrome (362043363340263).

The spelling of 140042231100222 in words is "one hundred forty trillion, forty-two billion, two hundred thirty-one million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 223 318 446 583 669 1166 1301 1338 1749 2453 2602 3498 3903 4906 7359 7806 11819 14311 14718 23638 28622 35457 42933 68953 70914 85866 130009 137906 137993 206859 260018 275986 290123 390027 413718 413979 580246 758483 780054 827958 870369 1516966 1517923 1740738 2275449 3035846 3191353 4550898 4553769 6382706 7313629 9107538 9574059 14627258 15376519 19148118 21940887 30753038 30772439 43881774 46129557 61544878 80449919 92259114 92317317 160899838 169141709 179528893 184634634 241349757 338283418 338496829 359057786 482699514 507425127 538586679 676993658 1014850254 1015490487 1077173358 1630939267 1974817823 2030980974 3261878534 3949635646 4892817801 5924453469 9515031329 9785635602 11848906938 17940331937 19030062658 28545093987 35880663874 40034943139 53820995811 57090187974 80069886278 104665344619 107641991622 120104829417 209330689238 240209658834 313996033857 440384374529 627992067714 880768749058 1321153123587 2121851986367 2642306247174 4243703972734 6365555959101 12731111918202 23340371850037 46680743700074 70021115550111 140042231100222