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40138726221 = 32115352114683
BaseRepresentation
bin100101011000011101…
…000101101101001101
310211121100002120002200
4211120131011231031
51124201003214341
630234532112113
72620450354266
oct453035055515
9124540076080
1040138726221
11160282a0110
127942465639
133a28a34b99
141d2ab9d96d
15109dc8adb6
hex958745b4d

40138726221 has 48 divisors (see below), whose sum is σ = 64570364352. Its totient is φ = 23820076800.

The previous prime is 40138726217. The next prime is 40138726223. The reversal of 40138726221 is 12262783104.

It is a happy number.

40138726221 is a `hidden beast` number, since 401 + 3 + 8 + 7 + 26 + 221 = 666.

40138726221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40138726221 - 22 = 40138726217 is a prime.

It is a super-2 number, since 2×401387262212 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40138726223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2726346 + ... + 2741028.

It is an arithmetic number, because the mean of its divisors is an integer number (1345215924).

Almost surely, 240138726221 is an apocalyptic number.

It is an amenable number.

40138726221 is a deficient number, since it is larger than the sum of its proper divisors (24431638131).

40138726221 is a wasteful number, since it uses less digits than its factorization.

40138726221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274 (or 15271 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40138726221 in words is "forty billion, one hundred thirty-eight million, seven hundred twenty-six thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 53 99 159 477 521 583 1563 1749 4689 5247 5731 14683 17193 27613 44049 51579 82839 132147 161513 248517 303743 484539 778199 911229 1453617 2334597 2733687 7003791 7649843 8560189 22949529 25680567 68848587 77041701 84148273 252444819 405441679 757334457 1216325037 3648975111 4459858469 13379575407 40138726221