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30403134288 = 243217118710463
BaseRepresentation
bin11100010100001010…
…110000001101010000
32220110211212020122200
4130110022300031100
5444231200244123
621544512403200
72124263243322
oct342412601520
986424766580
1030403134288
111199185a86a
125a85b46500
132b36a631b7
141685bc7612
15bce20b143
hex7142b0350

30403134288 has 120 divisors (see below), whose sum is σ = 90176156928. Its totient is φ = 9529291776.

The previous prime is 30403134287. The next prime is 30403134317. The reversal of 30403134288 is 88243130403.

It is a happy number.

30403134288 is a `hidden beast` number, since 304 + 0 + 3 + 1 + 342 + 8 + 8 = 666.

It is a super-2 number, since 2×304031342882 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30403134287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2900545 + ... + 2911007.

Almost surely, 230403134288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30403134288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45088078464).

30403134288 is an abundant number, since it is smaller than the sum of its proper divisors (59773022640).

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

30403134288 is a wasteful number, since it uses less digits than its factorization.

30403134288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11681 (or 11672 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 30403134288 in words is "thirty billion, four hundred three million, one hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1187 1224 2374 2448 3561 4748 7122 9496 10463 10683 14244 18992 20179 20926 21366 28488 31389 40358 41852 42732 56976 60537 62778 80716 83704 85464 94167 121074 125556 161432 167408 170928 177871 181611 188334 242148 251112 322864 355742 363222 376668 484296 502224 533613 711484 726444 753336 968592 1067226 1422968 1452888 1506672 1600839 2134452 2845936 2905776 3201678 4268904 6403356 8537808 12419581 12806712 24839162 25613424 37258743 49678324 74517486 99356648 111776229 149034972 198713296 211132877 223552458 298069944 422265754 447104916 596139888 633398631 844531508 894209832 1266797262 1689063016 1788419664 1900195893 2533594524 3378126032 3800391786 5067189048 7600783572 10134378096 15201567144 30403134288