Search a number
-
+
30117742137 = 347192819949
BaseRepresentation
bin11100000011001010…
…000100011000111001
32212201221211211020000
4130003022010120321
5443140120222022
621500315423213
72114226404250
oct340312043071
985657754200
1030117742137
111185575348a
125a06454b09
132abc8ab3c2
141659d37797
15bb41356ac
hex703284639

30117742137 has 80 divisors (see below), whose sum is σ = 54322224000. Its totient is φ = 16244686080.

The previous prime is 30117742093. The next prime is 30117742169. The reversal of 30117742137 is 73124771103.

It is a happy number.

30117742137 is a `hidden beast` number, since 30 + 1 + 177 + 421 + 37 = 666.

It is not a de Polignac number, because 30117742137 - 214 = 30117725753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30117742177) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3022239 + ... + 3032187.

It is an arithmetic number, because the mean of its divisors is an integer number (679027800).

Almost surely, 230117742137 is an apocalyptic number.

It is an amenable number.

30117742137 is a deficient number, since it is larger than the sum of its proper divisors (24204481863).

30117742137 is a wasteful number, since it uses less digits than its factorization.

30117742137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 30117742137 in words is "thirty billion, one hundred seventeen million, seven hundred forty-two thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 281 399 513 567 843 1197 1539 1967 2529 3591 5339 5901 7587 9949 10773 16017 17703 22761 29847 37373 48051 53109 69643 89541 112119 144153 159327 189031 208929 268623 336357 432459 567093 626787 805869 1009071 1323217 1701279 1880361 2795669 3027213 3969651 5103837 5641083 8387007 11908953 15311511 19569683 25161021 35726859 53117711 58709049 75483063 107180577 159353133 176127147 226449189 371823977 478059399 528381441 1115471931 1434178197 1585144323 3346415793 4302534591 10039247379 30117742137