Search a number
-
+
42199199136 = 2532983149059
BaseRepresentation
bin100111010011010001…
…001010110110100000
311000220221020102120100
4213103101022312200
51142410443333021
631215215142400
73022510163043
oct472321126640
9130827212510
1042199199136
1116995390996
128218514a00
133c96893523
1420846bac5a
15116eae6626
hex9d344ada0

42199199136 has 72 divisors (see below), whose sum is σ = 120126857760. Its totient is φ = 14051995776.

The previous prime is 42199199099. The next prime is 42199199137. The reversal of 42199199136 is 63199199124.

It is a happy number.

42199199136 is a `hidden beast` number, since 421 + 99 + 19 + 91 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42199199137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208575 + ... + 357633.

It is an arithmetic number, because the mean of its divisors is an integer number (1668428580).

Almost surely, 242199199136 is an apocalyptic number.

It is an amenable number.

42199199136 is an abundant number, since it is smaller than the sum of its proper divisors (77927658624).

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

42199199136 is a wasteful number, since it uses less digits than its factorization.

42199199136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150058 (or 150047 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The spelling of 42199199136 in words is "forty-two billion, one hundred ninety-nine million, one hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 983 1966 2949 3932 5898 7864 8847 11796 15728 17694 23592 31456 35388 47184 70776 94368 141552 149059 283104 298118 447177 596236 894354 1192472 1341531 1788708 2384944 2683062 3577416 4769888 5366124 7154832 10732248 14309664 21464496 42928992 146524997 293049994 439574991 586099988 879149982 1172199976 1318724973 1758299964 2344399952 2637449946 3516599928 4688799904 5274899892 7033199856 10549799784 14066399712 21099599568 42199199136