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74430214145 = 576123531619
BaseRepresentation
bin100010101010001100…
…0101111000000000001
321010010011120122011222
41011110120233000001
52204413113323040
654105345444425
75243310244610
oct1052430570001
9233104518158
1074430214145
1129624a08581
1212512640715
137032228c41
143861157877
151e09516bb5
hex115462f001

74430214145 has 48 divisors (see below), whose sum is σ = 104134792320. Its totient is φ = 50028042240.

The previous prime is 74430214123. The next prime is 74430214153. The reversal of 74430214145 is 54141203447.

It is not a de Polignac number, because 74430214145 - 28 = 74430213889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45972146 + ... + 45973764.

It is an arithmetic number, because the mean of its divisors is an integer number (2169474840).

Almost surely, 274430214145 is an apocalyptic number.

It is an amenable number.

74430214145 is a deficient number, since it is larger than the sum of its proper divisors (29704578175).

74430214145 is a wasteful number, since it uses less digits than its factorization.

74430214145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 74430214145 in words is "seventy-four billion, four hundred thirty million, two hundred fourteen thousand, one hundred forty-five".

Divisors: 1 5 7 35 61 305 353 427 1619 1765 2135 2471 3721 8095 11333 12355 18605 21533 26047 56665 98759 107665 130235 150731 493795 571507 691313 753655 1313513 2857535 3456565 4000549 6024299 6567565 9194591 20002745 30121495 34861927 42170093 45972955 174309635 210850465 244033489 1220167445 2126577547 10632887735 14886042829 74430214145