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3403744038639 = 3271729195156171
BaseRepresentation
bin110001100001111110111…
…101000100111011101111
3110001101122202220111220200
4301201332331010323233
5421231331433214024
611123354115244543
7500624643650460
oct61417675047357
913041582814820
103403744038639
1110a257985778a
1246b802ba9753
131b8c82a40a09
14baa56420d67
155d814ba22c9
hex3187ef44eef

3403744038639 has 96 divisors (see below), whose sum is σ = 6157817303040. Its totient is φ = 1766524032000.

The previous prime is 3403744038631. The next prime is 3403744038641. The reversal of 3403744038639 is 9368304473043.

3403744038639 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3403744038639 - 23 = 3403744038631 is a prime.

It is a super-3 number, since 3×34037440386393 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403744038631) 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, 60568024 + ... + 60624194.

It is an arithmetic number, because the mean of its divisors is an integer number (64143930240).

Almost surely, 23403744038639 is an apocalyptic number.

3403744038639 is a deficient number, since it is larger than the sum of its proper divisors (2754073264401).

3403744038639 is a wasteful number, since it uses less digits than its factorization.

3403744038639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58181 (or 58178 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 3403744038639 in words is "three trillion, four hundred three billion, seven hundred forty-four million, thirty-eight thousand, six hundred thirty-nine".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 153 203 261 357 493 609 1071 1479 1827 1951 3451 4437 5853 10353 13657 17559 31059 33167 40971 56171 56579 99501 122913 168513 169737 232169 298503 393197 396053 505539 509211 696507 954907 961843 1179591 1188159 1628959 2089521 2864721 2885529 3538773 3564477 4886877 6684349 6732901 8594163 8656587 11402713 14660631 20053047 20198703 27692303 34208139 60159141 60596109 83076909 102624417 109589621 193846121 249230727 328768863 581538363 767127347 986306589 1744615089 1863023557 2301382041 3178099009 5589070671 6904146123 9534297027 13041164899 16767212013 22246693063 28602891081 39123494697 54027683153 66740079189 117370484091 162083049459 200220237567 378193782071 486249148377 1134581346213 3403744038639