Search a number
-
+
30414186036 = 223213374340847
BaseRepresentation
bin11100010100110100…
…111010011000110100
32220111121122201210200
4130110310322120310
5444242012423121
621545545320500
72124456213213
oct342464723064
986447581720
1030414186036
1111998019143
125a89796130
132b391326b0
14168746307a
15bd0190a26
hex714d3a634

30414186036 has 144 divisors (see below), whose sum is σ = 87011468544. Its totient is φ = 8893317888.

The previous prime is 30414186013. The next prime is 30414186041. The reversal of 30414186036 is 63068141403.

It is a happy number.

30414186036 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 41 + 8 + 603 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724165 + ... + 765011.

Almost surely, 230414186036 is an apocalyptic number.

30414186036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414186036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43505734272).

30414186036 is an abundant number, since it is smaller than the sum of its proper divisors (56597282508).

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

30414186036 is a wasteful number, since it uses less digits than its factorization.

30414186036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40950 (or 40945 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30414186036 in words is "thirty billion, four hundred fourteen million, one hundred eighty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 43 52 74 78 86 111 117 129 148 156 172 222 234 258 333 387 444 468 481 516 559 666 774 962 1118 1332 1443 1548 1591 1677 1924 2236 2886 3182 3354 4329 4773 5031 5772 6364 6708 8658 9546 10062 14319 17316 19092 20124 20683 28638 40847 41366 57276 62049 81694 82732 122541 124098 163388 186147 245082 248196 367623 372294 490164 531011 735246 744588 1062022 1470492 1511339 1593033 1756421 2124044 3022678 3186066 3512842 4534017 4779099 5269263 6045356 6372132 7025684 9068034 9558198 10538526 13602051 15807789 18136068 19116396 19647407 21077052 22833473 27204102 31615578 39294814 45666946 54408204 58942221 63231156 64987577 68500419 78589628 91333892 117884442 129975154 137000838 176826663 194962731 205501257 235768884 259950308 274001676 353653326 389925462 411002514 584888193 707306652 779850924 822005028 844838501 1169776386 1689677002 2339552772 2534515503 3379354004 5069031006 7603546509 10138062012 15207093018 30414186036