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140314012130000 = 245417359808307
BaseRepresentation
bin11111111001110101100110…
…110110011001101011010000
3200101210212222202110112011002
4133321311212312121223100
5121342401044101130000
61214231211200441132
741361232011250412
oct3771654666315320
9611725882415132
10140314012130000
1140787924961175
12138a19669191a8
13603a729507397
14269133d3829b2
151134d51dc78d5
hex7f9d66d99ad0

140314012130000 has 100 divisors (see below), whose sum is σ = 339734244991680. Its totient is φ = 56122302192000.

The previous prime is 140314012129937. The next prime is 140314012130003. The reversal of 140314012130000 is 31210413041.

It is a tau number, because it is divible by the number of its divisors (100).

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 (140314012130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173185847 + ... + 173994153.

Almost surely, 2140314012130000 is an apocalyptic number.

140314012130000 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 140314012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169867122495840).

140314012130000 is an abundant number, since it is smaller than the sum of its proper divisors (199420232861680).

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

140314012130000 is an equidigital number, since it uses as much as digits as its factorization.

140314012130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825694 (or 825673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 140314012130000 its reverse (31210413041), we get a palindrome (140345222543041).

The spelling of 140314012130000 in words is "one hundred forty trillion, three hundred fourteen billion, twelve million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 17359 34718 69436 86795 138872 173590 277744 347180 433975 694360 808307 867950 1388720 1616614 1735900 2169875 3233228 3471800 4041535 4339750 6466456 6943600 8083070 8679500 10849375 12932912 16166140 17359000 20207675 21698750 32332280 34718000 40415350 43397500 64664560 80830700 86795000 101038375 161661400 173590000 202076750 323322800 404153500 505191875 808307000 1010383750 1616614000 2020767500 4041535000 8083070000 14031401213 28062802426 56125604852 70157006065 112251209704 140314012130 224502419408 280628024260 350785030325 561256048520 701570060650 1122512097040 1403140121300 1753925151625 2806280242600 3507850303250 5612560485200 7015700606500 8769625758125 14031401213000 17539251516250 28062802426000 35078503032500 70157006065000 140314012130000