Search a number
-
+
13042333044 = 22331341226571
BaseRepresentation
bin11000010010110001…
…00011010101110100
31020122221110011111000
430021120203111310
5203202314124134
65554102243300
7641126000406
oct141130432564
936587404430
1013042333044
115593069944
12263ba26530
1312cb0a4440
148ba228b76
15515014e99
hex309623574

13042333044 has 96 divisors (see below), whose sum is σ = 37302814080. Its totient is φ = 3915129600.

The previous prime is 13042333043. The next prime is 13042333091. The reversal of 13042333044 is 44033324031.

13042333044 is a `hidden beast` number, since 1 + 304 + 23 + 330 + 4 + 4 = 666.

It is a super-2 number, since 2×130423330442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13042332999 and 13042333017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042333043) 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, 55722 + ... + 170849.

It is an arithmetic number, because the mean of its divisors is an integer number (388570980).

Almost surely, 213042333044 is an apocalyptic number.

It is an amenable number.

13042333044 is an abundant number, since it is smaller than the sum of its proper divisors (24260481036).

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

13042333044 is a wasteful number, since it uses less digits than its factorization.

13042333044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226638 (or 226630 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13042333044 its reverse (44033324031), we get a palindrome (57075657075).

The spelling of 13042333044 in words is "thirteen billion, forty-two million, three hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 702 738 1066 1107 1404 1476 1599 2132 2214 3198 4428 4797 6396 9594 14391 19188 28782 57564 226571 453142 679713 906284 1359426 2039139 2718852 2945423 4078278 5890846 6117417 8156556 8836269 9289411 11781692 12234834 17672538 18578822 24469668 26508807 27868233 35345076 37157644 53017614 55736466 79526421 83604699 106035228 111472932 120762343 159052842 167209398 241524686 250814097 318105684 334418796 362287029 483049372 501628194 724574058 1003256388 1086861087 1449148116 2173722174 3260583261 4347444348 6521166522 13042333044