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20443141441404 = 223211101797641317
BaseRepresentation
bin1001010010111110010100…
…01011110000011101111100
32200101100022200021011121200
410221133022023300131330
510134420023202111104
6111251241033055500
74206653050101663
oct451371213603574
980340280234550
1020443141441404
116571984434940
122362026857590
13b53a1a77c2a6
1450964bcd1dda
15256b8de48b39
hex1297ca2f077c

20443141441404 has 144 divisors (see below), whose sum is σ = 57003186161376. Its totient is φ = 6125850432000.

The previous prime is 20443141441351. The next prime is 20443141441421. The reversal of 20443141441404 is 40414414134402.

20443141441404 is a `hidden beast` number, since 2 + 0 + 4 + 431 + 41 + 44 + 140 + 4 = 666.

It is a super-2 number, since 2×204431414414042 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 31556154 + ... + 32197470.

It is an arithmetic number, because the mean of its divisors is an integer number (395855459454).

Almost surely, 220443141441404 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 20443141441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28501593080688).

20443141441404 is an abundant number, since it is smaller than the sum of its proper divisors (36560044719972).

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

20443141441404 is a wasteful number, since it uses less digits than its factorization.

20443141441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642236 (or 642231 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 20443141441404 its reverse (40414414134402), we get a palindrome (60857555575806).

The spelling of 20443141441404 in words is "twenty trillion, four hundred forty-three billion, one hundred forty-one million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 797 909 1111 1212 1594 1818 2222 2391 3188 3333 3636 4444 4782 6666 7173 8767 9564 9999 13332 14346 17534 19998 26301 28692 35068 39996 52602 78903 80497 105204 157806 160994 241491 315612 321988 482982 641317 724473 885467 965964 1282634 1448946 1770934 1923951 2565268 2656401 2897892 3541868 3847902 5312802 5771853 7054487 7695804 7969203 10625604 11543706 14108974 15938406 21163461 23087412 28217948 31876812 42326922 63490383 64773017 84653844 126980766 129546034 194319051 253961532 259092068 388638102 511129649 582957153 712503187 777276204 1022259298 1165914306 1425006374 1533388947 2044518596 2137509561 2331828612 2850012748 3066777894 4275019122 4600166841 5622426139 6133555788 6412528683 8550038244 9200333682 11244852278 12825057366 16867278417 18400667364 22489704556 25650114732 33734556834 50601835251 51624094549 67469113668 101203670502 103248189098 154872283647 202407341004 206496378196 309744567294 464616850941 567865040039 619489134588 929233701882 1135730080078 1703595120117 1858467403764 2271460160156 3407190240234 5110785360351 6814380480468 10221570720702 20443141441404