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13003353534444 = 22371323351106579
BaseRepresentation
bin1011110100111001010001…
…0001001010111111101100
31201001002221001202201200220
42331032110101022333230
53201021332001100234
643353354054251340
72511314136231630
oct275162421127754
951032831681626
1013003353534444
114163767089869
121560178956b50
13734298692820
1432d519578dc0
151783a8cb1a49
hexbd39444afec

13003353534444 has 96 divisors (see below), whose sum is σ = 37503234961920. Its totient is φ = 3414737115648.

The previous prime is 13003353534443. The next prime is 13003353534461. The reversal of 13003353534444 is 44443535330031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13003353534396 and 13003353534405.

It is not an unprimeable number, because it can be changed into a prime (13003353534443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25298854 + ... + 25807725.

It is an arithmetic number, because the mean of its divisors is an integer number (390658697520).

Almost surely, 213003353534444 is an apocalyptic number.

13003353534444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13003353534444 is an abundant number, since it is smaller than the sum of its proper divisors (24499881427476).

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

13003353534444 is a wasteful number, since it uses less digits than its factorization.

13003353534444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51106839 (or 51106837 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 42.

Adding to 13003353534444 its reverse (44443535330031), we get a palindrome (57446888864475).

The spelling of 13003353534444 in words is "thirteen trillion, three billion, three hundred fifty-three million, five hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 233 273 364 466 546 699 932 1092 1398 1631 2796 3029 3262 4893 6058 6524 9087 9786 12116 18174 19572 21203 36348 42406 63609 84812 127218 254436 51106579 102213158 153319737 204426316 306639474 357746053 613278948 664385527 715492106 1073238159 1328771054 1430984212 1993156581 2146476318 2657542108 3986313162 4292952636 4650698689 7972626324 9301397378 11907832907 13952096067 18602794756 23815665814 27904192134 35723498721 47631331628 55808384268 71446997442 83354830349 142893994884 154801827791 166709660698 250064491047 309603655582 333419321396 464405483373 500128982094 619207311164 928810966746 1000257964188 1083612794537 1857621933492 2167225589074 3250838383611 4334451178148 6501676767222 13003353534444