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3981915355041 = 3313235317951991
BaseRepresentation
bin111001111100011100101…
…001100111011110100001
3112002200000112020112212000
4321330130221213132201
51010214430312330131
612245133333154213
7560453401030521
oct71743451473641
915080015215760
103981915355041
1112a57a24561a8
1254387b48b969
1322b65419c7a0
14daa2359b681
156d8a3481ce6
hex39f1ca677a1

3981915355041 has 128 divisors (see below), whose sum is σ = 6792068505600. Its totient is φ = 2286754778880.

The previous prime is 3981915355039. The next prime is 3981915355081. The reversal of 3981915355041 is 1405535191893.

It is a happy number.

3981915355041 is a `hidden beast` number, since 3 + 9 + 8 + 19 + 1 + 535 + 50 + 41 = 666.

It is not a de Polignac number, because 3981915355041 - 21 = 3981915355039 is a prime.

It is a super-2 number, since 2×39819153550412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3981915355001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76562556 + ... + 76614546.

It is an arithmetic number, because the mean of its divisors is an integer number (53063035200).

Almost surely, 23981915355041 is an apocalyptic number.

It is an amenable number.

3981915355041 is a deficient number, since it is larger than the sum of its proper divisors (2810153150559).

3981915355041 is a wasteful number, since it uses less digits than its factorization.

3981915355041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52268 (or 52262 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 3981915355041 in words is "three trillion, nine hundred eighty-one billion, nine hundred fifteen million, three hundred fifty-five thousand, forty-one".

Divisors: 1 3 9 13 23 27 39 53 69 117 159 179 207 299 351 477 537 621 689 897 1219 1431 1611 2067 2327 2691 3657 4117 4833 6201 6981 8073 9487 10971 12351 15847 18603 20943 28461 32913 37053 47541 51991 53521 62829 85383 111159 123331 142623 155973 160563 218201 256149 369993 427869 467919 481689 654603 675883 1109979 1195793 1403757 1445067 1963809 2027649 2755523 2836613 3329937 3587379 5891427 6082947 8266569 8509839 9306389 10762137 15545309 18248841 24799707 25529517 27919167 32286411 35821799 46635927 63377029 74399121 76588551 83757501 107465397 120983057 139907781 190131087 214046947 251272503 322396191 362949171 419723343 493238617 570393261 642140841 823901377 967188573 1088847513 1479715851 1711179783 1926422523 2471704131 2782610311 3266542539 4439147553 5779267569 6412102021 7415112393 8347830933 11344488191 13317442659 19236306063 22245337179 25043492799 34033464573 57708918189 75130478397 102100393719 147478346483 173126754567 306301181157 442435039449 1327305118347 3981915355041