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45142051633614 = 23313105161184507
BaseRepresentation
bin10100100001110011100111…
…11100111011100111001110
312220211112112012020210201000
422100321303330323213032
521404101410204233424
6240001550000201130
712336256056550245
oct1220716374734716
9186745465223630
1045142051633614
1113424700329441
1250909b99091a6
131c25b532a5bb0
14b20c5bb4995c
155343ad3213c9
hex290e73f3b9ce

45142051633614 has 64 divisors (see below), whose sum is σ = 108135052058880. Its totient is φ = 13876645960800.

The previous prime is 45142051633577. The next prime is 45142051633633. The reversal of 45142051633614 is 41633615024154.

45142051633614 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 2 + 0 + 5 + 1 + 633 + 6 + 1 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45142051633614.

It is a congruent number.

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, 29854452 + ... + 31330055.

It is an arithmetic number, because the mean of its divisors is an integer number (1689610188420).

Almost surely, 245142051633614 is an apocalyptic number.

45142051633614 is an abundant number, since it is smaller than the sum of its proper divisors (62993000425266).

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

45142051633614 is a wasteful number, since it uses less digits than its factorization.

45142051633614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61185582 (or 61185576 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 45142051633614 its reverse (41633615024154), we get a palindrome (86775666657768).

The spelling of 45142051633614 in words is "forty-five trillion, one hundred forty-two billion, fifty-one million, six hundred thirty-three thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1051 2102 3153 6306 9459 13663 18918 27326 28377 40989 56754 81978 122967 245934 368901 737802 61184507 122369014 183553521 367107042 550660563 795398591 1101321126 1590797182 1651981689 2386195773 3303963378 4772391546 7158587319 14317174638 21475761957 42951523914 64304916857 128609833714 192914750571 385829501142 578744251713 835963919141 1157488503426 1671927838282 1736232755139 2507891757423 3472465510278 5015783514846 7523675272269 15047350544538 22571025816807 45142051633614