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241130232240 = 24352437412273
BaseRepresentation
bin1110000010010001111…
…0110101100110110000
3212001101210001222011020
43200210132311212300
512422313314412430
6302435041415440
723264301104352
oct3404436654660
9761353058136
10241130232240
1193298803477
123a89603a580
131997a5a8cc1
14b95681b0d2
1564142b4b10
hex38247b59b0

241130232240 has 80 divisors (see below), whose sum is σ = 747812264928. Its totient is φ = 64274853888.

The previous prime is 241130232221. The next prime is 241130232271. The reversal of 241130232240 is 42232031142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241130232240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378744 + ... + 791016.

Almost surely, 2241130232240 is an apocalyptic number.

241130232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241130232240 is an abundant number, since it is smaller than the sum of its proper divisors (506682032688).

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

241130232240 is a wasteful number, since it uses less digits than its factorization.

241130232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414726 (or 414720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 241130232240 its reverse (42232031142), we get a palindrome (283362263382).

The spelling of 241130232240 in words is "two hundred forty-one billion, one hundred thirty million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2437 4874 7311 9748 12185 14622 19496 24370 29244 36555 38992 48740 58488 73110 97480 116976 146220 194960 292440 412273 584880 824546 1236819 1649092 2061365 2473638 3298184 4122730 4947276 6184095 6596368 8245460 9894552 12368190 16490920 19789104 24736380 32981840 49472760 98945520 1004709301 2009418602 3014127903 4018837204 5023546505 6028255806 8037674408 10047093010 12056511612 15070639515 16075348816 20094186020 24113023224 30141279030 40188372040 48226046448 60282558060 80376744080 120565116120 241130232240