Search a number
-
+
74214316430406 = 23217293478264233
BaseRepresentation
bin10000110111111101011101…
…111101111101010001000110
3100201202211010022111011201100
4100313331131331331101012
534211411410001233111
6421501330350240530
721426543642162255
oct2067753575752106
9321684108434640
1074214316430406
1121713129952a59
1283a72944b6146
1332544c2b619a9
141447dc63ac79c
1588a740c10756
hex437f5df7d446

74214316430406 has 48 divisors (see below), whose sum is σ = 170262195081264. Its totient is φ = 23282126618112.

The previous prime is 74214316430399. The next prime is 74214316430407. The reversal of 74214316430406 is 60403461341247.

74214316430406 is a `hidden beast` number, since 7 + 4 + 21 + 4 + 316 + 4 + 304 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74214316430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4848066 + ... + 13112298.

It is an arithmetic number, because the mean of its divisors is an integer number (3547129064193).

Almost surely, 274214316430406 is an apocalyptic number.

74214316430406 is an abundant number, since it is smaller than the sum of its proper divisors (96047878650858).

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

74214316430406 is a wasteful number, since it uses less digits than its factorization.

74214316430406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293605 (or 8293602 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 74214316430406 in words is "seventy-four trillion, two hundred fourteen billion, three hundred sixteen million, four hundred thirty thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 29347 58694 88041 176082 264123 498899 528246 997798 1496697 2993394 4490091 8264233 8980182 16528466 24792699 49585398 74378097 140491961 148756194 280983922 421475883 842951766 1264427649 2528855298 242530445851 485060891702 727591337553 1455182675106 2182774012659 4123017579467 4365548025318 8246035158934 12369052738401 24738105476802 37107158215203 74214316430406