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20402443213344 = 2532174678923267
BaseRepresentation
bin1001010001110010100000…
…11000010101101000100000
32200020110021100100222021200
410220321100120111220200
510133233200430311334
6111220430352521200
74204012363626603
oct450712030255040
980213240328250
1020402443213344
11655669a337815
122356168b50200
13b4cc32b5b03a
145076aaacc33a
15255aaaede799
hex128e50615a20

20402443213344 has 144 divisors (see below), whose sum is σ = 61563910288608. Its totient is φ = 6387059644416.

The previous prime is 20402443213283. The next prime is 20402443213393. The reversal of 20402443213344 is 44331234420402.

20402443213344 is a `hidden beast` number, since 2 + 0 + 40 + 2 + 443 + 2 + 133 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 20402443213299 and 20402443213308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2175202 + ... + 6748065.

It is an arithmetic number, because the mean of its divisors is an integer number (427527154782).

Almost surely, 220402443213344 is an apocalyptic number.

20402443213344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20402443213344 is an abundant number, since it is smaller than the sum of its proper divisors (41161467075264).

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

20402443213344 is a wasteful number, since it uses less digits than its factorization.

20402443213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923767 (or 8923756 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 20402443213344 its reverse (44331234420402), we get a palindrome (64733677633746).

The spelling of 20402443213344 in words is "twenty trillion, four hundred two billion, four hundred forty-three million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 467 544 612 816 934 1224 1401 1632 1868 2448 2802 3736 4203 4896 5604 7472 7939 8406 11208 14944 15878 16812 22416 23817 31756 33624 44832 47634 63512 67248 71451 95268 127024 134496 142902 190536 254048 285804 381072 571608 762144 1143216 2286432 8923267 17846534 26769801 35693068 53539602 71386136 80309403 107079204 142772272 151695539 160618806 214158408 285544544 303391078 321237612 428316816 455086617 606782156 642475224 856633632 910173234 1213564312 1284950448 1365259851 1820346468 2427128624 2569900896 2730519702 3640692936 4167165689 4854257248 5461039404 7281385872 8334331378 10922078808 12501497067 14562771744 16668662756 21844157616 25002994134 33337325512 37504491201 43688315232 50005988268 66674651024 70841816713 75008982402 100011976536 133349302048 141683633426 150017964804 200023953072 212525450139 283367266852 300035929608 400047906144 425050900278 566734533704 600071859216 637576350417 850101800556 1133469067408 1200143718432 1275152700834 1700203601112 2266938134816 2550305401668 3400407202224 5100610803336 6800814404448 10201221606672 20402443213344