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30041100640 = 2551910197841
BaseRepresentation
bin11011111110100101…
…101101000101100000
32212112121122000212001
4123332211231011200
5443011010210030
621444541013344
72112306066535
oct337645550540
985477560761
1030041100640
1111816466601
1259a4854254
132aa9a558c5
14164daa6d8c
15bac546cca
hex6fe96d160

30041100640 has 96 divisors (see below), whose sum is σ = 75447923040. Its totient is φ = 11271168000.

The previous prime is 30041100637. The next prime is 30041100689. The reversal of 30041100640 is 4600114003.

It is a happy number.

It is a super-3 number, since 3×300411006403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258120 + ... + 355960.

It is an arithmetic number, because the mean of its divisors is an integer number (785915865).

Almost surely, 230041100640 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 30041100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37723961520).

30041100640 is an abundant number, since it is smaller than the sum of its proper divisors (45406822400).

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

30041100640 is a wasteful number, since it uses less digits than its factorization.

30041100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97976 (or 97968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 30041100640 its reverse (4600114003), we get a palindrome (34641214643).

The spelling of 30041100640 in words is "thirty billion, forty-one million, one hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 101 152 160 190 202 304 380 404 505 608 760 808 1010 1520 1616 1919 2020 3040 3232 3838 4040 7676 8080 9595 15352 16160 19190 30704 38380 61408 76760 97841 153520 195682 307040 391364 489205 782728 978410 1565456 1858979 1956820 3130912 3717958 3913640 7435916 7827280 9294895 9881941 14871832 15654560 18589790 19763882 29743664 37179580 39527764 49409705 59487328 74359160 79055528 98819410 148718320 158111056 187756879 197638820 297436640 316222112 375513758 395277640 751027516 790555280 938784395 1502055032 1581110560 1877568790 3004110064 3755137580 6008220128 7510275160 15020550320 30041100640