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1355329014 = 2313192127379
BaseRepresentation
bin101000011001000…
…1010110111110110
310111110021211212220
41100302022313312
510233431012024
6342253223210
745405051354
oct12062126766
93443254786
101355329014
11636058826
12319a91b06
13187a3ab40
14cc0047d4
157debde79
hex50c8adf6

1355329014 has 96 divisors (see below), whose sum is σ = 3113349120. Its totient is φ = 390930624.

The previous prime is 1355329009. The next prime is 1355329051. The reversal of 1355329014 is 4109235531.

1355329014 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3575877 + ... + 3576255.

It is an arithmetic number, because the mean of its divisors is an integer number (32430720).

Almost surely, 21355329014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355329014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

1355329014 is an abundant number, since it is smaller than the sum of its proper divisors (1758020106).

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

1355329014 is a wasteful number, since it uses less digits than its factorization.

1355329014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1355329014 is about 36814.7934124314. The cubic root of 1355329014 is about 1106.6617814215.

The spelling of 1355329014 in words is "one billion, three hundred fifty-five million, three hundred twenty-nine thousand, fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 127 247 254 361 379 381 494 722 741 758 762 1083 1137 1482 1651 2166 2274 2413 3302 4693 4826 4927 4953 7201 7239 9386 9854 9906 14079 14402 14478 14781 21603 28158 29562 31369 43206 45847 48133 62738 91694 93613 94107 96266 136819 137541 144399 187226 188214 273638 275082 280839 288798 410457 561678 596011 625729 820914 914527 1192022 1251458 1778647 1788033 1829054 1877187 2743581 3557294 3576066 3754374 5335941 5487162 10671882 11888851 17376013 23777702 34752026 35666553 52128039 71333106 104256078 225888169 451776338 677664507 1355329014