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1353220044 = 22311131139563
BaseRepresentation
bin101000010101000…
…0111111111001100
310111022022200220220
41100222013333030
510232411020134
6342140111340
745351115641
oct12052077714
93438280826
101353220044
11634948280
12319235550
1318747cc27
14cba15dc8
157dc04149
hex50a87fcc

1353220044 has 96 divisors (see below), whose sum is σ = 3502033920. Its totient is φ = 403291200.

The previous prime is 1353220039. The next prime is 1353220051. The reversal of 1353220044 is 4400223531.

It is a junction number, because it is equal to n+sod(n) for n = 1353219996 and 1353220023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403307 + ... + 2403869.

It is an arithmetic number, because the mean of its divisors is an integer number (36479520).

Almost surely, 21353220044 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 1353220044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751016960).

1353220044 is an abundant number, since it is smaller than the sum of its proper divisors (2148813876).

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

1353220044 is a wasteful number, since it uses less digits than its factorization.

1353220044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1353220044 is about 36786.1392918583. The cubic root of 1353220044 is about 1106.0874736113.

Adding to 1353220044 its reverse (4400223531), we get a palindrome (5753443575).

The spelling of 1353220044 in words is "one billion, three hundred fifty-three million, two hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 139 262 278 393 417 524 556 563 786 834 1126 1441 1529 1572 1668 1689 2252 2882 3058 3378 4323 4587 5764 6116 6193 6756 8646 9174 12386 17292 18209 18348 18579 24772 36418 37158 54627 72836 73753 74316 78257 109254 147506 156514 200299 218508 221259 234771 295012 313028 400598 442518 469542 600897 801196 811283 860827 885036 939084 1201794 1622566 1721654 2403588 2433849 2582481 3245132 3443308 4867698 5164962 9735396 10251667 10329924 20503334 30755001 41006668 61510002 112768337 123020004 225536674 338305011 451073348 676610022 1353220044