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1312414411224 = 233721923091409
BaseRepresentation
bin10011000110010001111…
…111101010100111011000
311122110120102020212220110
4103012101333222213120
5133000311042124344
62442525335324320
7163550565301200
oct23062177524730
94573512225813
101312414411224
114666567a2084
12192430b206a0
13969b6077bb7
144774223d400
1524213c543b9
hex13191fea9d8

1312414411224 has 144 divisors (see below), whose sum is σ = 4028169058200. Its totient is φ = 355239876096.

The previous prime is 1312414411213. The next prime is 1312414411249. The reversal of 1312414411224 is 4221144142131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312414411191 and 1312414411200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1121169 + ... + 1970240.

Almost surely, 21312414411224 is an apocalyptic number.

1312414411224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1312414411224 is an abundant number, since it is smaller than the sum of its proper divisors (2715754646976).

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

1312414411224 is a wasteful number, since it uses less digits than its factorization.

1312414411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091470 (or 3091440 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 1312414411224 its reverse (4221144142131), we get a palindrome (5533558553355).

The spelling of 1312414411224 in words is "one trillion, three hundred twelve billion, four hundred fourteen million, four hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 361 392 399 456 532 588 722 798 931 1064 1083 1176 1444 1596 1862 2166 2527 2793 2888 3192 3724 4332 5054 5586 7448 7581 8664 10108 11172 15162 17689 20216 22344 30324 35378 53067 60648 70756 106134 141512 212268 424536 3091409 6182818 9274227 12365636 18548454 21639863 24731272 37096908 43279726 58736771 64919589 74193816 86559452 117473542 129839178 151479041 173118904 176210313 234947084 259678356 302958082 352420626 411157397 454437123 469894168 519356712 605916164 704841252 822314794 908874246 1115998649 1211832328 1233472191 1409682504 1644629588 1817748492 2231997298 2466944382 2878101779 3289259176 3347995947 3635496984 4463994596 4933888764 5756203558 6695991894 7811990543 8634305337 8927989192 9867777528 11512407116 13391983788 15623981086 17268610674 23024814232 23435971629 26783967576 31247962172 34537221348 46871943258 54683933801 62495924344 69074442696 93743886516 109367867602 164051801403 187487773032 218735735204 328103602806 437471470408 656207205612 1312414411224