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140022121124420 = 225171381298211273
BaseRepresentation
bin11111110101100101110000…
…110010100101001001000100
3200100202222120101001002112122
4133311211300302211021010
5121323110301001440140
61213445135135305112
741331156456531143
oct3765456062451104
9610688511032478
10140022121124420
1140685059007457
121385528507b198
13601904c691332
14268116d19b75a
15112c46b593ab5
hex7f5970ca5244

140022121124420 has 48 divisors (see below), whose sum is σ = 311568753385008. Its totient is φ = 52676039086080.

The previous prime is 140022121124341. The next prime is 140022121124429. The reversal of 140022121124420 is 24421121220041.

It can be written as a sum of positive squares in 8 ways, for example, as 12951692531716 + 127070428592704 = 3598846^2 + 11272552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 140022121124420.

It is not an unprimeable number, because it can be changed into a prime (140022121124429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148636097 + ... + 149575176.

It is an arithmetic number, because the mean of its divisors is an integer number (6491015695521).

Almost surely, 2140022121124420 is an apocalyptic number.

140022121124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022121124420 is an abundant number, since it is smaller than the sum of its proper divisors (171546632260588).

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

140022121124420 is a wasteful number, since it uses less digits than its factorization.

140022121124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298212680 (or 298212678 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 140022121124420 its reverse (24421121220041), we get a palindrome (164443242344461).

The spelling of 140022121124420 in words is "one hundred forty trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1381 2762 5524 6905 13810 23477 27620 46954 93908 117385 234770 469540 298211273 596422546 1192845092 1491056365 2982112730 5069591641 5964225460 10139183282 20278366564 25347958205 50695916410 101391832820 411829768013 823659536026 1647319072052 2059148840065 4118297680130 7001106056221 8236595360260 14002212112442 28004424224884 35005530281105 70011060562210 140022121124420