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3387711466044 = 22321939716577529
BaseRepresentation
bin110001010011000011010…
…101101010101000111100
3102222212021102210102220200
4301103003111222220330
5421001013113403134
611112143153443500
7466516435225353
oct61230325525074
912885242712820
103387711466044
1110967a1894694
12468689870590
131b75c92c1879
14b9d7501099a
155d1c73c5499
hex314c356aa3c

3387711466044 has 144 divisors (see below), whose sum is σ = 9043446266400. Its totient is φ = 1066323253248.

The previous prime is 3387711466039. The next prime is 3387711466067. The reversal of 3387711466044 is 4406641177833.

It is a happy number.

3387711466044 is a `hidden beast` number, since 33 + 87 + 71 + 1 + 466 + 0 + 4 + 4 = 666.

It is a super-2 number, since 2×33877114660442 (a number of 26 digits) contains 22 as substring.

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, 449951272 + ... + 449958800.

Almost surely, 23387711466044 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 3387711466044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521723133200).

3387711466044 is an abundant number, since it is smaller than the sum of its proper divisors (5655734800356).

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

3387711466044 is a wasteful number, since it uses less digits than its factorization.

3387711466044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9612 (or 9607 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3387711466044 in words is "three trillion, three hundred eighty-seven billion, seven hundred eleven million, four hundred sixty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 397 684 794 1191 1588 1657 2382 3314 3573 4764 4971 6628 7146 7529 7543 9942 14292 14913 15058 15086 19884 22587 22629 29826 30116 30172 31483 45174 45258 59652 62966 67761 67887 90348 90516 94449 125932 135522 135774 143051 188898 271044 271548 283347 286102 377796 429153 566694 572204 657829 858306 1133388 1287459 1315658 1716612 1973487 2574918 2631316 2989013 3946974 5149836 5920461 5978026 7893948 8967039 11840922 11956052 12475553 12498751 17934078 23681844 24951106 24997502 26901117 35868156 37426659 37496253 49902212 49995004 53802234 56791247 74853318 74992506 107604468 112279977 112488759 113582494 149706636 149985012 170373741 224559954 224977518 227164988 237035507 340747482 449119908 449955036 474071014 511121223 681494964 711106521 948142028 1022242446 1422213042 2044484892 2133319563 2844426084 4266639126 4952794541 8533278252 9905589082 14858383623 19811178164 29716767246 44575150869 59433534492 89150301738 94103096279 178300603476 188206192558 282309288837 376412385116 564618577674 846927866511 1129237155348 1693855733022 3387711466044