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45353514414 = 23133198319081
BaseRepresentation
bin101010001111010001…
…111011010110101110
311100001202122020200010
4222033101323112232
51220340444430124
632500215114050
73163621340355
oct521721732656
9140052566603
1045353514414
111826397071a
128958972926
13437a227b80
1422a35b299c
1512a69bd529
hexa8f47b5ae

45353514414 has 64 divisors (see below), whose sum is σ = 100943474688. Its totient is φ = 13490323200.

The previous prime is 45353514329. The next prime is 45353514419. The reversal of 45353514414 is 41441535354.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45353514419) 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, 2367354 + ... + 2386434.

It is an arithmetic number, because the mean of its divisors is an integer number (1577241792).

Almost surely, 245353514414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45353514414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50471737344).

45353514414 is an abundant number, since it is smaller than the sum of its proper divisors (55589960274).

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

45353514414 is a wasteful number, since it uses less digits than its factorization.

45353514414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20113.

The product of its digits is 288000, while the sum is 39.

The spelling of 45353514414 in words is "forty-five billion, three hundred fifty-three million, five hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 983 1209 1966 2418 2949 5898 12779 19081 25558 30473 38162 38337 57243 60946 76674 91419 114486 182838 248053 396149 496106 591511 744159 792298 1183022 1188447 1488318 1774533 2376894 3549066 7689643 15379286 18756623 23068929 37513246 46137858 56269869 112539738 243836099 487672198 581455313 731508297 1162910626 1463016594 1744365939 3488731878 7558919069 15117838138 22676757207 45353514414