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22413112331344 = 2471783699120287
BaseRepresentation
bin1010001100010011101011…
…00110010100110001010000
32221100200011100001011201021
411012021311212110301100
510414204023224100334
6115400235222045224
74502202550300150
oct506116546246120
987320140034637
1022413112331344
117161390669899
12261b989b79814
13c677168c8687
14576b2c51a760
1528d03a99c3b4
hex146275994c50

22413112331344 has 160 divisors (see below), whose sum is σ = 53191731511296. Its totient is φ = 8929942640640.

The previous prime is 22413112331263. The next prime is 22413112331359. The reversal of 22413112331344 is 44313321131422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104791569 + ... + 1104811855.

Almost surely, 222413112331344 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 22413112331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26595865755648).

22413112331344 is an abundant number, since it is smaller than the sum of its proper divisors (30778619179952).

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

22413112331344 is a wasteful number, since it uses less digits than its factorization.

22413112331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27393 (or 27387 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 22413112331344 its reverse (44313321131422), we get a palindrome (66726433462766).

The spelling of 22413112331344 in words is "twenty-two trillion, four hundred thirteen billion, one hundred twelve million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 83 112 119 136 166 238 272 332 476 581 664 952 1162 1328 1411 1904 2324 2822 4648 5644 6991 9296 9877 11288 13982 19754 20287 22576 27964 39508 40574 48937 55928 79016 81148 97874 111856 118847 142009 158032 162296 195748 237694 284018 324592 344879 391496 475388 568036 580253 689758 782992 831929 950776 1136072 1160506 1379516 1663858 1683821 1901552 2272144 2321012 2414153 2759032 3327716 3367642 4061771 4642024 4828306 5518064 6655432 6735284 8123542 9284048 9656612 9864301 11786747 13310864 13470568 16247084 19313224 19728602 23573494 26941136 28624957 32494168 38626448 39457204 47146988 57249914 64988336 69050107 78914408 94293976 114499828 138100214 141826417 157828816 188587952 200374699 228999656 276200428 283652834 400749398 457999312 552400856 567305668 801498796 992784919 1104801712 1134611336 1602997592 1985569838 2269222672 2411049089 3205995184 3971139676 4822098178 7942279352 9644196356 11771592611 15884558704 16877343623 19288392712 23543185222 33754687246 38576785424 47086370444 67509374492 82401148277 94172740888 135018748984 164802296554 188345481776 200117074387 270037497968 329604593108 400234148774 659209186216 800468297548 1318418372432 1400819520709 1600936595096 2801639041418 3201873190192 5603278082836 11206556165672 22413112331344