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3104452544013 = 3243131233269977
BaseRepresentation
bin101101001011001111110…
…010101000011000001101
3101222210010122011021211100
4231023033302220120031
5401330404322402023
610334055452013313
7440201141142342
oct55131762503015
911883118137740
103104452544013
11a9765558a017
124217b6a61239
1319699693b972
14aa38342c7c9
1555b497e5c43
hex2d2cfca860d

3104452544013 has 96 divisors (see below), whose sum is σ = 4665395180160. Its totient is φ = 1988000501760.

The previous prime is 3104452544009. The next prime is 3104452544023.

3104452544013 is a `hidden beast` number, since 3 + 10 + 44 + 52 + 544 + 0 + 13 = 666.

3104452544013 is nontrivially palindromic in base 10.

3104452544013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3104452544013 - 22 = 3104452544009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104452544023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3177535381 + ... + 3177536357.

It is an arithmetic number, because the mean of its divisors is an integer number (48597866460).

Almost surely, 23104452544013 is an apocalyptic number.

It is an amenable number.

3104452544013 is a deficient number, since it is larger than the sum of its proper divisors (1560942636147).

3104452544013 is a wasteful number, since it uses less digits than its factorization.

3104452544013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 3104452544013 in words is "three trillion, one hundred four billion, four hundred fifty-two million, five hundred forty-four thousand, thirteen".

Divisors: 1 3 9 43 129 131 233 269 387 393 699 807 977 1179 2097 2421 2931 5633 8793 10019 11567 16899 30057 30523 34701 35239 42011 50697 62677 90171 91569 104103 105717 126033 127987 188031 227641 262813 274707 317151 378099 383961 564093 682923 788439 1151883 1312489 1515277 2048769 2365317 2695111 3937467 4545831 5503441 8085333 8210687 9788563 11300959 11812401 13637493 16510323 24255999 24632061 29365689 29820971 33902877 34428503 49530969 61235429 73896183 88097067 89462913 101708631 103285509 183706287 268388739 309856527 353059541 551118861 1059178623 1282301753 1480425629 2633123447 3177535869 3846905259 4441276887 7899370341 8021841199 11540715777 13323830661 23698111023 24065523597 72196570791 344939171557 1034817514671 3104452544013