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3313050053144 = 23138910914922039
BaseRepresentation
bin110000001101100001001…
…010111110101000011000
3102201201120011011200122212
4300031201022332220120
5413240111303200034
611013554424334252
7461234316542546
oct60154112765030
912651504150585
103313050053144
111068069425067
12456111914388
131b055b206b40
14b64d12b2d96
155b2a79402ce
hex303612bea18

3313050053144 has 128 divisors (see below), whose sum is σ = 6873174000000. Its totient is φ = 1487926775808.

The previous prime is 3313050053141. The next prime is 3313050053177. The reversal of 3313050053144 is 4413500503133.

It is a super-2 number, since 2×33130500531442 (a number of 26 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 3313050053144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313050053141) 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, 150315677 + ... + 150337715.

It is an arithmetic number, because the mean of its divisors is an integer number (53696671875).

Almost surely, 23313050053144 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 3313050053144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436587000000).

3313050053144 is an abundant number, since it is smaller than the sum of its proper divisors (3560123946856).

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

3313050053144 is a wasteful number, since it uses less digits than its factorization.

3313050053144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22405 (or 22401 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 3313050053144 its reverse (4413500503133), we get a palindrome (7726550556277).

The spelling of 3313050053144 in words is "three trillion, three hundred thirteen billion, fifty million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 89 104 109 149 178 218 298 356 436 596 712 872 1157 1192 1417 1937 2314 2834 3874 4628 5668 7748 9256 9701 11336 13261 15496 16241 19402 22039 26522 32482 38804 44078 53044 64964 77608 88156 106088 126113 129928 172393 176312 211133 252226 286507 344786 422266 504452 573014 689572 844532 1008904 1146028 1379144 1445449 1689064 1961471 2292056 2402251 2890898 3283811 3922942 4804502 5781796 6567622 7845884 9609004 11563592 13135244 15691768 18790837 19218008 25499123 26270488 31229263 37581674 42689543 50998246 62458526 75163348 85379086 101996492 124917052 150326696 170758172 203992984 213800339 249834104 292259179 341516344 357935399 427600678 584518358 715870798 855201356 1169036716 1431741596 1710402712 2338073432 2779404407 2863483192 3799369327 4653160187 5558808814 7598738654 9306320374 11117617628 15197477308 18612640748 22235235256 30394954616 31856250511 37225281496 63712501022 127425002044 254850004088 414131256643 828262513286 1656525026572 3313050053144