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1344322000544 = 253153251101869
BaseRepresentation
bin10011100011111111110…
…101011101011010100000
311202111221010000100212212
4103203333311131122200
5134011132413004134
62505323433541252
7166060360316015
oct23437765353240
94674833010785
101344322000544
1147913a7a5206
12198656874828
13999cc700073
14490cbb6970c
1524e80089bce
hex138ffd5d6a0

1344322000544 has 96 divisors (see below), whose sum is σ = 2794673871360. Its totient is φ = 635656320000.

The previous prime is 1344322000477. The next prime is 1344322000603. The reversal of 1344322000544 is 4450002234431.

It is a super-2 number, since 2×13443220005442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1344322000544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13145642 + ... + 13247510.

It is an arithmetic number, because the mean of its divisors is an integer number (29111186160).

Almost surely, 21344322000544 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 1344322000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397336935680).

1344322000544 is an abundant number, since it is smaller than the sum of its proper divisors (1450351870816).

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

1344322000544 is a wasteful number, since it uses less digits than its factorization.

1344322000544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102214 (or 102206 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 1344322000544 its reverse (4450002234431), we get a palindrome (5794324234975).

The spelling of 1344322000544 in words is "one trillion, three hundred forty-four billion, three hundred twenty-two million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 251 424 496 502 848 992 1004 1643 1696 2008 3286 4016 6572 7781 8032 13144 13303 15562 26288 26606 31124 52576 53212 62248 101869 106424 124496 203738 212848 248992 407476 412393 425696 814952 824786 1629904 1649572 3157939 3259808 3299144 5399057 6315878 6598288 10798114 12631756 13196576 21596228 25263512 25569119 43192456 50527024 51138238 86384912 101054048 102276476 167370767 172769824 204552952 334741534 409105904 669483068 792642689 818211808 1338966136 1355163307 1585285378 2677932272 2710326614 3170570756 5355864544 5420653228 6341141512 10841306456 12682283024 21682612912 25364566048 42010062517 43365225824 84020125034 168040250068 336080500136 672161000272 1344322000544