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140022321010400 = 2552223784878481
BaseRepresentation
bin11111110101100101111100…
…101101000101011011100000
3200100210000002022011100120002
4133311211330231011123200
5121323111203134313100
61213445211035435132
741331164434532123
oct3765457455053340
9610700068140502
10140022321010400
1140685150921784
121385531bbb5aa8
136019081c0876a
14268118b9503ba
15112c47ddc92d5
hex7f597cb456e0

140022321010400 has 72 divisors (see below), whose sum is σ = 343362359277504. Its totient is φ = 55757767219200.

The previous prime is 140022321010367. The next prime is 140022321010409. The reversal of 140022321010400 is 4010123220041.

It is a super-2 number, since 2×1400223210104002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140022321010409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392260841 + ... + 392617640.

It is an arithmetic number, because the mean of its divisors is an integer number (4768921656632).

Almost surely, 2140022321010400 is an apocalyptic number.

140022321010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022321010400 is an abundant number, since it is smaller than the sum of its proper divisors (203340038267104).

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

140022321010400 is a wasteful number, since it uses less digits than its factorization.

140022321010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784878724 (or 784878711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 140022321010400 its reverse (4010123220041), we get a palindrome (144032444230441).

The spelling of 140022321010400 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty-one million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 223 400 446 800 892 1115 1784 2230 3568 4460 5575 7136 8920 11150 17840 22300 35680 44600 89200 178400 784878481 1569756962 3139513924 3924392405 6279027848 7848784810 12558055696 15697569620 19621962025 25116111392 31395139240 39243924050 62790278480 78487848100 125580556960 156975696200 175027901263 313951392400 350055802526 627902784800 700111605052 875139506315 1400223210104 1750279012630 2800446420208 3500558025260 4375697531575 5600892840416 7001116050520 8751395063150 14002232101040 17502790126300 28004464202080 35005580252600 70011160505200 140022321010400