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241322341312 = 26132101220907
BaseRepresentation
bin1110000010111111101…
…1101011001111000000
3212001220011120010021001
43200233323223033000
512423212004410222
6302510103141344
723302123025203
oct3405773531700
9761804503231
10241322341312
11933871968a8
123a92a444854
13199ab32c700
14b97414793a
1564260b0e27
hex382feeb3c0

241322341312 has 84 divisors (see below), whose sum is σ = 523680528456. Its totient is φ = 110276275200.

The previous prime is 241322341301. The next prime is 241322341327. The reversal of 241322341312 is 213143223142.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 981963 + ... + 1202869.

Almost surely, 2241322341312 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 241322341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261840264228).

241322341312 is an abundant number, since it is smaller than the sum of its proper divisors (282358187144).

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

241322341312 is a wasteful number, since it uses less digits than its factorization.

241322341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221046 (or 221023 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 241322341312 its reverse (213143223142), we get a palindrome (454465564454).

It can be divided in two parts, 24132 and 2341312, that added together give a square (2365444 = 15382).

The spelling of 241322341312 in words is "two hundred forty-one billion, three hundred twenty-two million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 169 202 208 338 404 416 676 808 832 1313 1352 1616 2626 2704 3232 5252 5408 6464 10504 10816 17069 21008 34138 42016 68276 84032 136552 220907 273104 441814 546208 883628 1092416 1767256 2871791 3534512 5743582 7069024 11487164 14138048 22311607 22974328 37333283 44623214 45948656 74666566 89246428 91897312 149333132 178492856 183794624 290050891 298666264 356985712 580101782 597332528 713971424 1160203564 1194665056 1427942848 2320407128 2389330112 3770661583 4640814256 7541323166 9281628512 15082646332 18563257024 30165292664 60330585328 120661170656 241322341312