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20404242222400 = 265273691730581
BaseRepresentation
bin1001010001110101110111…
…00111000000110101000000
32200020121220201112002202201
410220322323213000311000
510133300342002104100
6111221325055522544
74204105100146141
oct450727347006500
980217821462681
1020404242222400
116557432884963
12235658b529454
13b5015b79203a
145077db9c7ac8
15255b63dee36a
hex128ebb9c0d40

20404242222400 has 84 divisors (see below), whose sum is σ = 50214030831580. Its totient is φ = 8160584601600.

The previous prime is 20404242222379. The next prime is 20404242222443. The reversal of 20404242222400 is 422224240402.

It can be written as a sum of positive squares in 6 ways, for example, as 2761419709504 + 17642822512896 = 1661752^2 + 4200336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10925110 + ... + 12655690.

Almost surely, 220404242222400 is an apocalyptic number.

20404242222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20404242222400 is an abundant number, since it is smaller than the sum of its proper divisors (29809788609180).

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

20404242222400 is a wasteful number, since it uses less digits than its factorization.

20404242222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737972 (or 1737957 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 20404242222400 its reverse (422224240402), we get a palindrome (20826466462802).

The spelling of 20404242222400 in words is "twenty trillion, four hundred four billion, two hundred forty-two million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 7369 14738 29476 36845 58952 73690 117904 147380 184225 235808 294760 368450 471616 589520 736900 1179040 1473800 1730581 2358080 2947600 3461162 5895200 6922324 8652905 11790400 13844648 17305810 27689296 34611620 43264525 55378592 69223240 86529050 110757184 138446480 173058100 276892960 346116200 553785920 692232400 1384464800 2768929600 12752651389 25505302778 51010605556 63763256945 102021211112 127526513890 204042422224 255053027780 318816284725 408084844448 510106055560 637632569450 816169688896 1020212111120 1275265138900 2040424222240 2550530277800 4080848444480 5101060555600 10202121111200 20404242222400