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4045140415404 = 22321125915739601
BaseRepresentation
bin111010110111010101001…
…010000101001110101100
3112022201012210100101201100
4322313111022011032230
51012233421421243104
612334151205443100
7565152231131544
oct72672512051654
915281183311640
104045140415404
11131a597342900
12553b85410490
132345bbb30cca
14ddb004c0324
1570353dd3139
hex3add52853ac

4045140415404 has 108 divisors (see below), whose sum is σ = 11429784180360. Its totient is φ = 1205023776000.

The previous prime is 4045140415397. The next prime is 4045140415409.

4045140415404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4045140415409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7612797 + ... + 8126804.

Almost surely, 24045140415404 is an apocalyptic number.

4045140415404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4045140415404 is an abundant number, since it is smaller than the sum of its proper divisors (7384643764956).

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

4045140415404 is a wasteful number, since it uses less digits than its factorization.

4045140415404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15739692 (or 15739676 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 4045140 and 415404, that added together give a square (4460544 = 21122).

The spelling of 4045140415404 in words is "four trillion, forty-five billion, one hundred forty million, four hundred fifteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 121 132 177 198 236 242 354 363 396 484 531 649 708 726 1062 1089 1298 1452 1947 2124 2178 2596 3894 4356 5841 7139 7788 11682 14278 21417 23364 28556 42834 64251 85668 128502 257004 15739601 31479202 47218803 62958404 94437606 141656409 173135611 188875212 283312818 346271222 519406833 566625636 692542444 928636459 1038813666 1558220499 1857272918 1904491721 2077627332 2785909377 3116440998 3714545836 3808983442 5571818754 5713475163 6232881996 7617966884 8357728131 10215001049 11143637508 11426950326 16715456262 17140425489 20430002098 22853900652 30645003147 33430912524 34280850978 40860004196 61290006294 68561701956 91935009441 112365011539 122580012588 183870018882 224730023078 337095034617 367740037764 449460046156 674190069234 1011285103851 1348380138468 2022570207702 4045140415404