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40104453444 = 22311243679587
BaseRepresentation
bin100101010110011010…
…010110010101000100
310211111221121022200120
4211112122112111010
51124113220002234
630231305341540
72616553141536
oct452632262504
9124457538616
1040104453444
111600aa11500
127932a978b0
133a218c5133
141d263db856
15109ac6b049
hex956696544

40104453444 has 144 divisors (see below), whose sum is σ = 106831490304. Its totient is φ = 11691852480.

The previous prime is 40104453437. The next prime is 40104453491. The reversal of 40104453444 is 44435440104.

It is a super-2 number, since 2×401044534442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4178419 + ... + 4188005.

Almost surely, 240104453444 is an apocalyptic number.

40104453444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40104453444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53415745152).

40104453444 is an abundant number, since it is smaller than the sum of its proper divisors (66727036860).

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

40104453444 is a wasteful number, since it uses less digits than its factorization.

40104453444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 40104453444 its reverse (44435440104), we get a palindrome (84539893548).

The spelling of 40104453444 in words is "forty billion, one hundred four million, four hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 67 86 121 129 132 134 172 201 242 258 268 363 402 473 484 516 726 737 804 946 1419 1452 1474 1892 2211 2838 2881 2948 4422 5203 5676 5762 8107 8643 8844 9587 10406 11524 15609 16214 17286 19174 20812 24321 28761 31218 31691 32428 34572 38348 48642 57522 62436 63382 95073 97284 105457 115044 126764 190146 210914 316371 348601 380292 412241 421828 632742 642329 697202 824482 1045803 1160027 1236723 1265484 1284658 1394404 1648964 1926987 2091606 2320054 2473446 2569316 3480081 3853974 4183212 4534651 4640108 4946892 6960162 7065619 7707948 9069302 13603953 13920324 14131238 18138604 21196857 27207906 27620147 28262476 42393714 49881161 54415812 55240294 77721809 82860441 84787428 99762322 110480588 149643483 155443618 165720882 199524644 233165427 299286966 303821617 310887236 331441764 466330854 598573932 607643234 911464851 932661708 1215286468 1822929702 3342037787 3645859404 6684075574 10026113361 13368151148 20052226722 40104453444