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40134843861717 = 311223109193228509
BaseRepresentation
bin10010010000000100111110…
…00111001000101011010101
312021002212001021102221001010
421020002133013020223111
520230032130012033332
6221205405344122433
711311434563001633
oct1110023707105325
9167085037387033
1040134843861717
1111874101057200
12460249a006419
131951912b60057
149ca773000353
15498eece439cc
hex24809f1c8ad5

40134843861717 has 96 divisors (see below), whose sum is σ = 62261918611200. Its totient is φ = 22933574737920.

The previous prime is 40134843861631. The next prime is 40134843861719. The reversal of 40134843861717 is 71716834843104.

It is a happy number.

It is not a de Polignac number, because 40134843861717 - 28 = 40134843861461 is a prime.

It is a super-2 number, since 2×401348438617172 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40134843861719) 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, 175523659 + ... + 175752167.

It is an arithmetic number, because the mean of its divisors is an integer number (648561652200).

Almost surely, 240134843861717 is an apocalyptic number.

It is an amenable number.

40134843861717 is a deficient number, since it is larger than the sum of its proper divisors (22127074749483).

40134843861717 is a wasteful number, since it uses less digits than its factorization.

40134843861717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228859 (or 228848 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 40134843861717 in words is "forty trillion, one hundred thirty-four billion, eight hundred forty-three million, eight hundred sixty-one thousand, seven hundred seventeen".

Divisors: 1 3 11 23 33 69 109 121 193 253 327 363 579 759 1199 2123 2507 2783 3597 4439 6369 7521 8349 13189 13317 21037 23353 27577 39567 48829 63111 70059 82731 146487 228509 231407 303347 483851 537119 685527 694221 910041 1451553 1611357 2513599 2545477 5255707 5322361 7540797 7636431 15767121 15967083 24907481 27649589 44102237 57812777 58545971 74722443 82948767 132306711 173438331 175637913 273982291 485124607 572872063 635940547 821946873 1014351451 1455373821 1718616189 1907821641 3013805201 3043054353 4807143833 5336370677 6301592693 9041415603 11157865961 14421431499 16009112031 18904778079 33473597883 52878582163 69317519623 110564308159 122736525571 158635746489 207952558869 331692924477 368209576713 581664403793 1216207389749 1744993211379 3648622169247 13378281287239 40134843861717