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45014044010454 = 2334631800417727
BaseRepresentation
bin10100011110000101001100…
…00110100110011111010110
312220101022010010022210022000
422033002212012212133112
521400002230231313304
6235423055532420130
712324104654654601
oct1217024606463726
9186338103283260
1045014044010454
111338539236a542
125070034317646
131c16a6310998c
14b18997113338
15530dba366939
hex28f0a61a67d6

45014044010454 has 32 divisors (see below), whose sum is σ = 100247259095040. Its totient is φ = 14972273809416.

The previous prime is 45014044010449. The next prime is 45014044010461. The reversal of 45014044010454 is 45401044041054.

45014044010454 is a `hidden beast` number, since 4 + 50 + 14 + 0 + 440 + 104 + 54 = 666.

45014044010454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×450140440104543 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900183862 + ... + 900233865.

It is an arithmetic number, because the mean of its divisors is an integer number (3132726846720).

Almost surely, 245014044010454 is an apocalyptic number.

45014044010454 is an abundant number, since it is smaller than the sum of its proper divisors (55233215084586).

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

45014044010454 is a wasteful number, since it uses less digits than its factorization.

45014044010454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800418201 (or 1800418195 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 45014044010454 in words is "forty-five trillion, fourteen billion, forty-four million, ten thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 463 926 1389 2778 4167 8334 12501 25002 1800417727 3600835454 5401253181 10802506362 16203759543 32407519086 48611278629 97222557258 833593407601 1667186815202 2500780222803 5001560445606 7502340668409 15004681336818 22507022005227 45014044010454