Search a number
-
+
74142289296 = 2432514877009
BaseRepresentation
bin100010100001100111…
…0011000110110010000
321002101002210112112200
41011003032120312100
52203320411224141
654021022323200
75233213026555
oct1050316306620
9232332715480
1074142289296
1129497431359
1212452129500
136cb76983ca
143834c08a2c
151dde0e0ab6
hex1143398d90

74142289296 has 30 divisors (see below), whose sum is σ = 207495435030. Its totient is φ = 24714096384.

The previous prime is 74142289283. The next prime is 74142289303. The reversal of 74142289296 is 69298224147.

It is a happy number.

74142289296 is a `hidden beast` number, since 7 + 41 + 422 + 8 + 92 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59078163600 + 15064125696 = 243060^2 + 122736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257438361 + ... + 257438648.

It is an arithmetic number, because the mean of its divisors is an integer number (6916514501).

Almost surely, 274142289296 is an apocalyptic number.

It is an amenable number.

74142289296 is an abundant number, since it is smaller than the sum of its proper divisors (133353145734).

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

74142289296 is a wasteful number, since it uses less digits than its factorization.

74142289296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514877023 (or 514877014 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 74142289296 in words is "seventy-four billion, one hundred forty-two million, two hundred eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 514877009 1029754018 1544631027 2059508036 3089262054 4119016072 4633893081 6178524108 8238032144 9267786162 12357048216 18535572324 24714096432 37071144648 74142289296