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140022411144 = 233711271279593
BaseRepresentation
bin1000001001100111111…
…1000110111110001000
3111101102101212111001120
42002121333012332020
54243231214124034
6144154142115240
713054612566630
oct2023177067610
9441371774046
10140022411144
1154424000a50
122317927bb20
131028640aa25
146ac45c36c0
153997b9bc49
hex2099fc6f88

140022411144 has 128 divisors (see below), whose sum is σ = 438045511680. Its totient is φ = 36235123200.

The previous prime is 140022411121. The next prime is 140022411161. The reversal of 140022411144 is 441114220041.

140022411144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361012 + ... + 640604.

It is an arithmetic number, because the mean of its divisors is an integer number (3422230560).

Almost surely, 2140022411144 is an apocalyptic number.

140022411144 is a gapful number since it is divisible by the number (14) 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 140022411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219022755840).

140022411144 is an abundant number, since it is smaller than the sum of its proper divisors (298023100536).

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

140022411144 is a wasteful number, since it uses less digits than its factorization.

140022411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279891 (or 279887 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 140022411144 its reverse (441114220041), we get a palindrome (581136631185).

The spelling of 140022411144 in words is "one hundred forty billion, twenty-two million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 271 308 462 542 616 813 924 1084 1626 1848 1897 2168 2981 3252 3794 5691 5962 6504 7588 8943 11382 11924 15176 17886 20867 22764 23848 35772 41734 45528 62601 71544 83468 125202 166936 250404 279593 500808 559186 838779 1118372 1677558 1957151 2236744 3075523 3355116 3914302 5871453 6151046 6710232 7828604 9226569 11742906 12302092 15657208 18453138 21528661 23485812 24604184 36906276 43057322 46971624 64585983 73812552 75769703 86114644 129171966 151539406 172229288 227309109 258343932 303078812 454618218 516687864 530387921 606157624 833466733 909236436 1060775842 1591163763 1666933466 1818472872 2121551684 2500400199 3182327526 3333866932 4243103368 5000800398 5834267131 6364655052 6667733864 10001600796 11668534262 12729310104 17502801393 20003201592 23337068524 35005602786 46674137048 70011205572 140022411144