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14945274344 = 23711213231421
BaseRepresentation
bin11011110101100111…
…01100100111101000
31102120120011121012102
431322303230213220
5221101442234334
610511001032532
71036233510260
oct157263544750
942516147172
1014945274344
11637a243900
122a91185748
1315423c7a00
14a1ac5a7a0
155c710467e
hex37acec9e8

14945274344 has 288 divisors, whose sum is σ = 39440862720. Its totient is φ = 5189184000.

The previous prime is 14945274299. The next prime is 14945274347. The reversal of 14945274344 is 44347254941.

It is a super-2 number, since 2×149452743442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14945274347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35499254 + ... + 35499674.

It is an arithmetic number, because the mean of its divisors is an integer number (136947440).

Almost surely, 214945274344 is an apocalyptic number.

14945274344 is a gapful number since it is divisible by the number (14) 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 14945274344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720431360).

14945274344 is an abundant number, since it is smaller than the sum of its proper divisors (24495588376).

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

14945274344 is a wasteful number, since it uses less digits than its factorization.

14945274344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 485 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 47.

The spelling of 14945274344 in words is "fourteen billion, nine hundred forty-five million, two hundred seventy-four thousand, three hundred forty-four".