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13031441144442 = 2327226251562831
BaseRepresentation
bin1011110110100001111001…
…1010111001101001111010
31201010210102112120011011200
42331220132122321221322
53202001342413110232
643414321133235030
72513330155045500
oct275503632715172
951123375504150
1013031441144442
11417466a884996
1215656b7332a76
13736b237a66b6
14330a21a12670
15178e9ea8177c
hexbda1e6b9a7a

13031441144442 has 72 divisors (see below), whose sum is σ = 32845860171072. Its totient is φ = 3723120450000.

The previous prime is 13031441144437. The next prime is 13031441144473. The reversal of 13031441144442 is 24444114413031.

13031441144442 is a `hidden beast` number, since 1 + 3 + 0 + 31 + 4 + 41 + 144 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13031441144397 and 13031441144406.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22871967 + ... + 23434797.

It is an arithmetic number, because the mean of its divisors is an integer number (456192502376).

Almost surely, 213031441144442 is an apocalyptic number.

13031441144442 is an abundant number, since it is smaller than the sum of its proper divisors (19814419026630).

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

13031441144442 is a wasteful number, since it uses less digits than its factorization.

13031441144442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589104 (or 589094 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13031441144442 its reverse (24444114413031), we get a palindrome (37475555557473).

The spelling of 13031441144442 in words is "thirteen trillion, thirty-one billion, four hundred forty-one million, one hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 26251 52502 78753 157506 183757 236259 367514 472518 551271 562831 1102542 1125662 1286299 1653813 1688493 2572598 3307626 3376986 3858897 3939817 5065479 7717794 7879634 10130958 11576691 11819451 23153382 23638902 27578719 35458353 55157438 70916706 82736157 165472314 248208471 496416942 14774876581 29549753162 44324629743 88649259486 103424136067 132973889229 206848272134 265947778458 310272408201 620544816402 723968952469 930817224603 1447937904938 1861634449206 2171906857407 4343813714814 6515720572221 13031441144442