Search a number
-
+
1344022361652 = 2235359253914107
BaseRepresentation
bin10011100011101101111…
…110011011011000110100
311202111011020012010121010
4103203231332123120310
5134010024211033102
62505234011352220
7166050061402155
oct23435576333064
94674136163533
101344022361652
11478aa6648063
12198592452670
13999825ca749
14490a004b92c
1524e63aecd6c
hex138edf9b634

1344022361652 has 96 divisors (see below), whose sum is σ = 3250889510400. Its totient is φ = 431903601792.

The previous prime is 1344022361579. The next prime is 1344022361653. The reversal of 1344022361652 is 2561632204431.

It is a super-2 number, since 2×13440223616522 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1344022361652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344022361653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95266383 + ... + 95280489.

It is an arithmetic number, because the mean of its divisors is an integer number (33863432400).

Almost surely, 21344022361652 is an apocalyptic number.

1344022361652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1344022361652 is an abundant number, since it is smaller than the sum of its proper divisors (1906867148748).

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

1344022361652 is a wasteful number, since it uses less digits than its factorization.

1344022361652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16763 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 1344022361652 in words is "one trillion, three hundred forty-four billion, twenty-two million, three hundred sixty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 53 59 106 118 159 177 212 236 318 354 636 708 2539 3127 5078 6254 7617 9381 10156 12508 14107 15234 18762 28214 30468 37524 42321 56428 84642 134567 149801 169284 269134 299602 403701 449403 538268 599204 747671 807402 832313 898806 1495342 1614804 1664626 1797612 2243013 2496939 2990684 3329252 4486026 4993878 7939453 8972052 9987756 15878906 23818359 31757812 35817673 44112589 47636718 71635346 88225178 95273436 107453019 132337767 143270692 176450356 214906038 264675534 429812076 529351068 1898336669 2113242707 3796673338 4226485414 5695010007 6339728121 7593346676 8452970828 11390020014 12679456242 22780040028 25358912484 112001863471 224003726942 336005590413 448007453884 672011180826 1344022361652