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3445889316012 = 223211133718090937
BaseRepresentation
bin110010001001001111000…
…000100011010010101100
3110012102102221200102201200
4302021033000203102230
5422424140131103022
611155004131005500
7503646230623323
oct62111700432254
913172387612650
103445889316012
111109436759430
12477a05439890
131bcc3b3a4a70
14bcad38a30ba
155e97eb96bac
hex3224f0234ac

3445889316012 has 144 divisors (see below), whose sum is σ = 10509821885472. Its totient is φ = 937834122240.

The previous prime is 3445889315971. The next prime is 3445889316043. The reversal of 3445889316012 is 2106139885443.

It is a happy number.

3445889316012 is a `hidden beast` number, since 3 + 44 + 588 + 9 + 3 + 1 + 6 + 0 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3445889316012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8854993 + ... + 9235944.

Almost surely, 23445889316012 is an apocalyptic number.

It is an amenable number.

3445889316012 is an abundant number, since it is smaller than the sum of its proper divisors (7063932569460).

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

3445889316012 is a wasteful number, since it uses less digits than its factorization.

3445889316012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091008 (or 18091003 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3445889316012 in words is "three trillion, four hundred forty-five billion, eight hundred eighty-nine million, three hundred sixteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 37 39 44 52 66 74 78 99 111 117 132 143 148 156 198 222 234 286 333 396 407 429 444 468 481 572 666 814 858 962 1221 1287 1332 1443 1628 1716 1924 2442 2574 2886 3663 4329 4884 5148 5291 5772 7326 8658 10582 14652 15873 17316 21164 31746 47619 63492 95238 190476 18090937 36181874 54272811 72363748 108545622 162818433 199000307 217091244 235182181 325636866 398000614 470364362 597000921 651273732 669364669 705546543 796001228 940728724 1194001842 1338729338 1411093086 1791002763 2008094007 2116639629 2388003684 2587003991 2677458676 2822186172 3582005526 4016188014 4233279258 5174007982 6024282021 7164011052 7363011359 7761011973 8032376028 8466558516 8701740697 10348015964 12048564042 14726022718 15522023946 17403481394 22089034077 23283035919 24097128084 26105222091 29452045436 31044047892 34806962788 44178068154 46566071838 52210444182 66267102231 78315666273 88356136308 93132143676 95719147667 104420888364 132534204462 156631332546 191438295334 265068408924 287157443001 313262665092 382876590668 574314886002 861472329003 1148629772004 1722944658006 3445889316012