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140042022120000 = 26335471113129539
BaseRepresentation
bin11111110101111000010010…
…111110110110101001000000
3200100211212221022021102021000
4133311320102332312221000
5121323422030130320000
61213502230010532000
741332462600310340
oct3765702276665100
9610755838242230
10140042022120000
1140692540664a40
12138590b9a37000
13601aba16b3670
1426820da270d20
15112cc337a5000
hex7f5e12fb6a40

140042022120000 has 2240 divisors, whose sum is σ = 690745250764800. Its totient is φ = 26860999680000.

The previous prime is 140042022119981. The next prime is 140042022120001. The reversal of 140042022120000 is 21220240041.

140042022120000 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 420 + 221 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×1400420221200002 (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 not an unprimeable number, because it can be changed into a prime (140042022120001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1081015231 + ... + 1081144769.

It is an arithmetic number, because the mean of its divisors is an integer number (308368415520).

Almost surely, 2140042022120000 is an apocalyptic number.

140042022120000 is a gapful number since it is divisible by the number (10) 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 140042022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345372625382400).

140042022120000 is an abundant number, since it is smaller than the sum of its proper divisors (550703228644800).

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

140042022120000 is a wasteful number, since it uses less digits than its factorization.

140042022120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129611 (or 129580 counting only the distinct ones).

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

Adding to 140042022120000 its reverse (21220240041), we get a palindrome (140063242360041).

The spelling of 140042022120000 in words is "one hundred forty trillion, forty-two billion, twenty-two million, one hundred twenty thousand".