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13442304744 = 233211127713291
BaseRepresentation
bin11001000010011100…
…10100101011101000
31021200211001211111200
430201032110223220
5210012212222434
610101511124200
7654053463561
oct144116245350
937624054450
1013442304744
115778915570
122731973660
131362c05b9b
149173c3168
1553a1c0199
hex321394ae8

13442304744 has 96 divisors (see below), whose sum is σ = 39749991840. Its totient is φ = 4069929600.

The previous prime is 13442304679. The next prime is 13442304793. The reversal of 13442304744 is 44740324431.

13442304744 is a `hidden beast` number, since 1 + 344 + 2 + 304 + 7 + 4 + 4 = 666.

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 = 13442304699 and 13442304708.

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, 1004739 + ... + 1018029.

It is an arithmetic number, because the mean of its divisors is an integer number (414062415).

Almost surely, 213442304744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442304744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19874995920).

13442304744 is an abundant number, since it is smaller than the sum of its proper divisors (26307687096).

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

13442304744 is a wasteful number, since it uses less digits than its factorization.

13442304744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 13442304744 in words is "thirteen billion, four hundred forty-two million, three hundred four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1277 2554 3831 5108 7662 10216 11493 13291 14047 15324 22986 26582 28094 30648 39873 42141 45972 53164 56188 79746 84282 91944 106328 112376 119619 126423 146201 159492 168564 239238 252846 292402 318984 337128 438603 478476 505692 584804 877206 956952 1011384 1169608 1315809 1754412 2631618 3508824 5263236 10526472 16972607 33945214 50917821 67890428 101835642 135780856 152753463 186698677 203671284 305506926 373397354 407342568 560096031 611013852 746794708 1120192062 1222027704 1493589416 1680288093 2240384124 3360576186 4480768248 6721152372 13442304744