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403244352103112 = 231322922953120097
BaseRepresentation
bin101101110101111111010010…
…0010111010110001011001000
31221212202210011020010100200222
41123223332210113112023020
5410323223413114244422
63545343521544045212
7150636304646534462
oct13353764427261310
91855683136110628
10403244352103112
11107538a73227043
1239287559763808
1314400a18cb2300
1471811b8bdb132
15319449e905842
hex16ebfa45d62c8

403244352103112 has 144 divisors (see below), whose sum is σ = 848216604575340. Its totient is φ = 179632748445696.

The previous prime is 403244352103069. The next prime is 403244352103123. The reversal of 403244352103112 is 211301253442304.

It can be written as a sum of positive squares in 18 ways, for example, as 84809106782596 + 318435245320516 = 9209186^2 + 17844754^2 .

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, 3357595448 + ... + 3357715544.

Almost surely, 2403244352103112 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 403244352103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424108302287670).

403244352103112 is an abundant number, since it is smaller than the sum of its proper divisors (444972252472228).

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

403244352103112 is a wasteful number, since it uses less digits than its factorization.

403244352103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123140 (or 123094 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 403244352103112 in words is "four hundred three trillion, two hundred forty-four billion, three hundred fifty-two million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 676 754 841 1352 1508 1682 2953 3016 3364 4901 5906 6728 9802 10933 11812 19604 21866 23624 38389 39208 43732 76778 85637 87464 120097 142129 153556 171274 240194 284258 307112 342548 480388 499057 568516 685096 960776 998114 1113281 1137032 1561261 1996228 2226562 2483473 3122522 3482813 3992456 4453124 4966946 6245044 6965626 8906248 9933892 12490088 13931252 14472653 19867784 20296393 27862504 28945306 32285149 40592786 45276569 57890612 64570298 81185572 90553138 101001577 115781224 129140596 162371144 181106276 202003154 258281192 354646441 362212552 404006308 419706937 588595397 709292882 808012616 839413874 1177190794 1313020501 1418585764 1678827748 2354381588 2626041002 2837171528 3357655496 4610403733 4708763176 5252082004 9220807466 10284746789 10504164008 17069266513 18441614932 20569493578 34138533026 36883229864 41138987156 59935248529 68277066052 82277974312 119870497058 133701708257 136554132104 239740994116 267403416514 298257656881 479481988232 534806833028 596515313762 1069613666056 1193030627524 1738122207341 2386061255048 3476244414682 3877349539453 6952488829364 7754699078906 13904977658728 15509398157812 31018796315624 50405544012889 100811088025778 201622176051556 403244352103112