Search a number
-
+
145245129102 = 2345379214133
BaseRepresentation
bin1000011101000101001…
…0001100100110001110
3111212220101100001020000
42013101102030212032
54334430223112402
6150420311105130
713331211140613
oct2072122144616
9455811301200
10145245129102
11566640a8287
12241963721a6
1310909449198
14705c09c50a
153ba1448c1c
hex21d148c98e

145245129102 has 80 divisors (see below), whose sum is σ = 335796373440. Its totient is φ = 46900047168.

The previous prime is 145245129089. The next prime is 145245129163. The reversal of 145245129102 is 201921542541.

145245129102 is a `hidden beast` number, since 1 + 4 + 52 + 4 + 512 + 91 + 0 + 2 = 666.

It is a super-2 number, since 2×1452451291022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 571228 + ... + 785360.

It is an arithmetic number, because the mean of its divisors is an integer number (4197454668).

Almost surely, 2145245129102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145245129102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167898186720).

145245129102 is an abundant number, since it is smaller than the sum of its proper divisors (190551244338).

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

145245129102 is a wasteful number, since it uses less digits than its factorization.

145245129102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214279 (or 214270 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145245129102 in words is "one hundred forty-five billion, two hundred forty-five million, one hundred twenty-nine thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 53 54 79 81 106 158 159 162 237 318 474 477 711 954 1422 1431 2133 2862 4187 4266 4293 6399 8374 8586 12561 12798 25122 37683 75366 113049 214133 226098 339147 428266 642399 678294 1284798 1927197 3854394 5781591 11349049 11563182 16916507 17344773 22698098 33833014 34047147 34689546 50749521 68094294 101499042 102141441 152248563 204282882 304497126 306424323 456745689 612848646 896574871 913491378 919272969 1370237067 1793149742 1838545938 2689724613 2740474134 5379449226 8069173839 16138347678 24207521517 48415043034 72622564551 145245129102