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13204342440 = 2333537330439
BaseRepresentation
bin11000100110000101…
…00100011010101000
31021002020022002121000
430103002210122220
5204020302424230
610022130515000
7645134026122
oct142302443250
937066262530
1013204342440
115666563a03
122686135a60
1313258196a3
148d395c212
15524367b60
hex3130a46a8

13204342440 has 128 divisors (see below), whose sum is σ = 45204192000. Its totient is φ = 3425981184.

The previous prime is 13204342421. The next prime is 13204342441. The reversal of 13204342440 is 4424340231.

It is a happy number.

13204342440 is a `hidden beast` number, since 13 + 204 + 3 + 4 + 2 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13204342441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125260 + ... + 205179.

It is an arithmetic number, because the mean of its divisors is an integer number (353157750).

Almost surely, 213204342440 is an apocalyptic number.

13204342440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13204342440 is an abundant number, since it is smaller than the sum of its proper divisors (31999849560).

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

13204342440 is a wasteful number, since it uses less digits than its factorization.

13204342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330496 (or 330486 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13204342440 its reverse (4424340231), we get a palindrome (17628682671).

The spelling of 13204342440 in words is "thirteen billion, two hundred four million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 330439 660878 991317 1321756 1652195 1982634 2643512 2973951 3304390 3965268 4956585 5947902 6608780 7930536 8921853 9913170 11895804 12226243 13217560 14869755 17843706 19826340 23791608 24452486 29739510 35687412 36678729 39652680 44609265 48904972 59479020 61131215 71374824 73357458 89218530 97809944 110036187 118958040 122262430 146714916 178437060 183393645 220072374 244524860 293429832 330108561 356874120 366787290 440144748 489049720 550180935 660217122 733574580 880289496 1100361870 1320434244 1467149160 1650542805 2200723740 2640868488 3301085610 4401447480 6602171220 13204342440