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14311336381440 = 210357227586361
BaseRepresentation
bin1101000001000001111000…
…0111110000110000000000
31212200011001122020211022220
43100100132013300300000
53333434104103201230
650234312010131040
73004650154052610
oct320203607606000
955604048224286
1014311336381440
11461844932306a
121731771720a80
137ca7265a5767
1437695b004a40
1519c40d944d10
hexd041e1f0c00

14311336381440 has 352 divisors, whose sum is σ = 52543589220864. Its totient is φ = 3256746639360.

The previous prime is 14311336381423. The next prime is 14311336381453. The reversal of 14311336381440 is 4418363311341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14311336381392 and 14311336381401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24113860 + ... + 24700220.

Almost surely, 214311336381440 is an apocalyptic number.

14311336381440 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 14311336381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26271794610432).

14311336381440 is an abundant number, since it is smaller than the sum of its proper divisors (38232252839424).

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

14311336381440 is a wasteful number, since it uses less digits than its factorization.

14311336381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586623 (or 586605 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

Adding to 14311336381440 its reverse (4418363311341), we get a palindrome (18729699692781).

The spelling of 14311336381440 in words is "fourteen trillion, three hundred eleven billion, three hundred thirty-six million, three hundred eighty-one thousand, four hundred forty".