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11342021133444 = 22317232285736787
BaseRepresentation
bin1010010100001100010100…
…1001000000010010000100
31111011021201221202110102020
42211003011021000102010
52441311424402232234
640042241431243140
72250301566641061
oct245030511002204
944137657673366
1011342021133444
113683140275771
1213321abb194b0
13643717c6b861
142b2d57481c68
1514a072ed9549
hexa50c5240484

11342021133444 has 144 divisors (see below), whose sum is σ = 29303808666048. Its totient is φ = 3402289465344.

The previous prime is 11342021133437. The next prime is 11342021133451. The reversal of 11342021133444 is 44433112024311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11342021133437) and next prime (11342021133451).

It is a super-2 number, since 2×113420211334442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308297619 + ... + 308334405.

It is an arithmetic number, because the mean of its divisors is an integer number (203498671292).

Almost surely, 211342021133444 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 11342021133444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651904333024).

11342021133444 is an abundant number, since it is smaller than the sum of its proper divisors (17961787532604).

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

11342021133444 is a wasteful number, since it uses less digits than its factorization.

11342021133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39714 (or 39689 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 11342021133444 its reverse (44433112024311), we get a palindrome (55775133157755).

The spelling of 11342021133444 in words is "eleven trillion, three hundred forty-two billion, twenty-one million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 529 782 1058 1173 1564 1587 2116 2346 2857 3174 4692 5714 6348 8571 8993 11428 17142 17986 26979 34284 35972 36787 48569 53958 65711 73574 97138 107916 110361 131422 145707 147148 194276 197133 220722 262844 291414 394266 441444 582828 625379 788532 846101 1117087 1250758 1511353 1692202 1876137 2234174 2501516 2538303 3022706 3351261 3384404 3752274 4468348 4534059 5076606 6045412 6702522 7504548 9068118 10153212 13405044 14383717 18136236 19460323 25693001 28767434 38920646 43151151 51386002 57534868 58380969 77079003 77841292 86302302 102772004 105100459 116761938 154158006 172604604 210200918 233523876 308316012 315301377 330825491 420401836 630602754 661650982 992476473 1261205508 1323301964 1786707803 1984952946 2417310557 3573415606 3969905892 4834621114 5360123409 7146831212 7251931671 9669242228 10720246818 14503863342 21440493636 29007726684 41094279469 55598142811 82188558938 111196285622 123282838407 164377117876 166794428433 222392571244 246565676814 333588856866 493131353628 667177713732 945168427787 1890336855574 2835505283361 3780673711148 5671010566722 11342021133444