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140220714816 = 26347131312269
BaseRepresentation
bin1000001010010111001…
…1100100111101000000
3111101221020000100120000
42002211303210331000
54244133000333231
6144225544320000
713062541260510
oct2024563447500
9441836010500
10140220714816
1154515a35486
1223213773000
13102b851cb90
146b02a83840
1539aa2bd6e6
hex20a5ce4f40

140220714816 has 560 divisors, whose sum is σ = 515711602560. Its totient is φ = 36682813440.

The previous prime is 140220714811. The next prime is 140220714817. The reversal of 140220714816 is 618417022041.

It is a happy number.

140220714816 is a `hidden beast` number, since 1 + 402 + 207 + 1 + 48 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140220714811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61797330 + ... + 61799598.

It is an arithmetic number, because the mean of its divisors is an integer number (920913576).

Almost surely, 2140220714816 is an apocalyptic number.

140220714816 is a gapful number since it is divisible by the number (16) 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 140220714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257855801280).

140220714816 is an abundant number, since it is smaller than the sum of its proper divisors (375490887744).

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

140220714816 is a wasteful number, since it uses less digits than its factorization.

140220714816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 140220714816 its reverse (618417022041), we get a palindrome (758637736857).

The spelling of 140220714816 in words is "one hundred forty billion, two hundred twenty million, seven hundred fourteen thousand, eight hundred sixteen".