Search a number
-
+
14012032223040 = 2635193472213843
BaseRepresentation
bin1100101111100110111000…
…1101000000011101000000
31211121112111121200012210220
43023321232031000131000
53314033120222114130
645445012211223040
72644223135512035
oct313715615003500
954545447605726
1014012032223040
114512518995975
1216a37612a7a80
137a843798b557
1436628647738c
151947423d6410
hexcbe6e340740

14012032223040 has 224 divisors, whose sum is σ = 46964663723520. Its totient is φ = 3529678841856.

The previous prime is 14012032223039. The next prime is 14012032223041. The reversal of 14012032223040 is 4032223021041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14012032223039) and next prime (14012032223041).

It is a super-2 number, since 2×140120322230402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14012032223040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012032223041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5222359 + ... + 7436201.

Almost surely, 214012032223040 is an apocalyptic number.

14012032223040 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 14012032223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482331861760).

14012032223040 is an abundant number, since it is smaller than the sum of its proper divisors (32952631500480).

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

14012032223040 is a wasteful number, since it uses less digits than its factorization.

14012032223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214229 (or 2214219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14012032223040 its reverse (4032223021041), we get a palindrome (18044255244081).

The spelling of 14012032223040 in words is "fourteen trillion, twelve billion, thirty-two million, two hundred twenty-three thousand, forty".