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45142335104355 = 3253132360096849
BaseRepresentation
bin10100100001110100001001…
…10110010010010101100011
312220211120020221122121110100
422100322010312102111203
521404103000241314410
6240002034044033443
712336266101164456
oct1220720466222543
9186746227577410
1045142335104355
1113424836343185
125090a78832883
131c25b99c37268
14b20c8765949d
155343c81678c0
hex290e84d92563

45142335104355 has 24 divisors (see below), whose sum is σ = 80770801737600. Its totient is φ = 23299269730560.

The previous prime is 45142335104341. The next prime is 45142335104437. The reversal of 45142335104355 is 55340153324154.

45142335104355 is a `hidden beast` number, since 4 + 5 + 1 + 42 + 3 + 3 + 510 + 43 + 55 = 666.

It is not a de Polignac number, because 45142335104355 - 217 = 45142334973283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45142335104355.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16180047030 + ... + 16180049819.

It is an arithmetic number, because the mean of its divisors is an integer number (3365450072400).

Almost surely, 245142335104355 is an apocalyptic number.

45142335104355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45142335104355 is a deficient number, since it is larger than the sum of its proper divisors (35628466633245).

45142335104355 is a wasteful number, since it uses less digits than its factorization.

45142335104355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32360096891 (or 32360096888 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 45142335104355 in words is "forty-five trillion, one hundred forty-two billion, three hundred thirty-five million, one hundred four thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 32360096849 97080290547 161800484245 291240871641 485401452735 1003163002319 1456204358205 3009489006957 5015815011595 9028467020871 15047445034785 45142335104355