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313104344334232 = 2311172539793310391
BaseRepresentation
bin100011100110001000100100…
…1001110001011111110011000
31112001121111001002201111121011
41013030101021032023332120
5312014400144122143412
63025530052230023304
7122644020351452443
oct10714211116137630
91461544032644534
10313104344334232
1190845896843990
122b1498774a7b34
13105927c7942729
14574648c86665a
15262e8688207a7
hex11cc44938bf98

313104344334232 has 128 divisors (see below), whose sum is σ = 678531573388800. Its totient is φ = 133865863833600.

The previous prime is 313104344334157. The next prime is 313104344334233. The reversal of 313104344334232 is 232433443401313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313104344334233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30132257757 + ... + 30132268147.

It is an arithmetic number, because the mean of its divisors is an integer number (5301027917100).

Almost surely, 2313104344334232 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 313104344334232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339265786694400).

313104344334232 is an abundant number, since it is smaller than the sum of its proper divisors (365427229054568).

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

313104344334232 is a wasteful number, since it uses less digits than its factorization.

313104344334232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20897 (or 20893 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 313104344334232 its reverse (232433443401313), we get a palindrome (545537787735545).

The spelling of 313104344334232 in words is "three hundred thirteen trillion, one hundred four billion, three hundred forty-four million, three hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 2539 5078 7933 10156 10391 15866 20312 20782 27929 31732 41564 43163 55858 63464 83128 86326 87263 111716 114301 134861 172652 174526 176647 223432 228602 269722 345304 349052 353294 457204 474793 539444 698104 706588 914408 949586 1078888 1413176 1483471 1899172 1943117 2966942 3798344 3886234 5933884 7772468 11867768 15544936 20141887 26382749 40283774 52765498 80567548 82431803 105530996 161135096 164863606 211061992 221560757 290210239 329727212 342412079 443121514 448506733 580420478 659454424 684824158 886243028 897013466 906749833 1160840956 1369648316 1401340651 1772486056 1794026932 1813499666 2321681912 2739296632 2802681302 3588053864 3626999332 3766532869 4933574063 5605362604 7253998664 7533065738 9867148126 11210725208 15066131476 15414747161 19734296252 30132262952 30829494322 39468592504 61658988644 123317977288 209294347817 418588695634 837177391268 1674354782536 2302237825987 3558003912889 4604475651974 7116007825778 9208951303948 14232015651556 18417902607896 28464031303112 39138043041779 78276086083558 156552172167116 313104344334232