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140321242211022 = 232294434571327801
BaseRepresentation
bin11111111001111100010101…
…110010111110001011001110
3200101211120122122010200202200
4133321330111302332023032
5121343010401001223042
61214234404434302330
741361606123031005
oct3771742562761316
9611746578120680
10140321242211022
114078a9a5074044
12138a32441279a6
13603b30c39a432
1426918276b1c3c
1511351269ddc4c
hex7f9f15cbe2ce

140321242211022 has 96 divisors (see below), whose sum is σ = 315913094995680. Its totient is φ = 44960285260800.

The previous prime is 140321242211009. The next prime is 140321242211027. The reversal of 140321242211022 is 220112242123041.

140321242211022 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 212 + 422 + 1 + 1 + 0 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140321242211027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105015522 + ... + 106343322.

It is an arithmetic number, because the mean of its divisors is an integer number (3290761406205).

Almost surely, 2140321242211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140321242211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157956547497840).

140321242211022 is an abundant number, since it is smaller than the sum of its proper divisors (175591852784658).

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

140321242211022 is a wasteful number, since it uses less digits than its factorization.

140321242211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328738 (or 1328735 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140321242211022 its reverse (220112242123041), we get a palindrome (360433484334063).

The spelling of 140321242211022 in words is "one hundred forty trillion, three hundred twenty-one billion, two hundred forty-two million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 443 457 522 886 914 1329 1371 2658 2742 3987 4113 7974 8226 12847 13253 25694 26506 38541 39759 77082 79518 115623 119277 202451 231246 238554 404902 607353 1214706 1327801 1822059 2655602 3644118 3983403 5871079 7966806 11742158 11950209 17613237 23900418 35226474 38506229 52839711 77012458 105679422 115518687 231037374 346556061 588215843 606805057 693112122 1176431686 1213610114 1764647529 1820415171 3529295058 3640830342 5293942587 5461245513 10587885174 10922491026 17058259447 17597346653 34116518894 35194693306 51174778341 52792039959 102349556682 105584079918 153524335023 158376119877 268814640251 307048670046 316752239754 537629280502 806443920753 1612887841506 2419331762259 4838663524518 7795624567279 15591249134558 23386873701837 46773747403674 70160621105511 140321242211022