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13405422244040 = 235192979570653
BaseRepresentation
bin1100001100010011000101…
…1011100101000011001000
31202110112201220222102202122
43003010301123211003020
53224113301043302130
644302211014150412
72552336600665151
oct303046133450310
952415656872678
1013405422244040
1142a9231418312
121606088952408
13763183784588
14344b7c3a0928
15183a8c0e12e5
hexc31316e50c8

13405422244040 has 96 divisors (see below), whose sum is σ = 32161417114680. Its totient is φ = 5027578343424.

The previous prime is 13405422244037. The next prime is 13405422244051. The reversal of 13405422244040 is 4044222450431.

It can be written as a sum of positive squares in 4 ways, for example, as 7083486436324 + 6321935807716 = 2661482^2 + 2514346^2 .

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, 3384647 + ... + 6186006.

Almost surely, 213405422244040 is an apocalyptic number.

13405422244040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405422244040 is an abundant number, since it is smaller than the sum of its proper divisors (18755994870640).

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

13405422244040 is a wasteful number, since it uses less digits than its factorization.

13405422244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570799 (or 9570776 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 13405422244040 its reverse (4044222450431), we get a palindrome (17449644694471).

The spelling of 13405422244040 in words is "thirteen trillion, four hundred five billion, four hundred twenty-two million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 361 380 388 485 722 760 776 970 1444 1805 1843 1940 2888 3610 3686 3880 7220 7372 9215 14440 14744 18430 35017 36860 70034 73720 140068 175085 280136 350170 700340 1400680 9570653 19141306 38282612 47853265 76565224 95706530 181842407 191413060 363684814 382826120 727369628 909212035 928353341 1454739256 1818424070 1856706682 3455005733 3636848140 3713413364 4641766705 6910011466 7273696280 7426826728 9283533410 13820022932 17275028665 17638713479 18567066820 27640045864 34550057330 35277426958 37134133640 69100114660 70554853916 88193567395 138200229320 141109707832 176387134790 335135556101 352774269580 670271112202 705548539160 1340542224404 1675677780505 2681084448808 3351355561010 6702711122020 13405422244040