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40117723243686 = 233112172318018719
BaseRepresentation
bin10010001111100101000101…
…01001001010010010100110
312021001012212002222102022000
421013302202221022102212
520224242044122244221
6221153454433550130
711310260403103434
oct1107624251122246
9167035762872260
1040117723243686
11118679159a4500
1245bb100415346
131950114b8763a
149c99cb2c3d54
15498849d92e26
hex247ca2a4a4a6

40117723243686 has 384 divisors, whose sum is σ = 108339769036800. Its totient is φ = 10936975104000.

The previous prime is 40117723243651. The next prime is 40117723243693. The reversal of 40117723243686 is 68634232771104.

40117723243686 is a `hidden beast` number, since 4 + 0 + 1 + 177 + 2 + 32 + 436 + 8 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4601179635 + ... + 4601188353.

It is an arithmetic number, because the mean of its divisors is an integer number (282134815200).

Almost surely, 240117723243686 is an apocalyptic number.

40117723243686 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40117723243686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54169884518400).

40117723243686 is an abundant number, since it is smaller than the sum of its proper divisors (68222045793114).

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

40117723243686 is a wasteful number, since it uses less digits than its factorization.

40117723243686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10593 (or 10576 counting only the distinct ones).

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

The spelling of 40117723243686 in words is "forty trillion, one hundred seventeen billion, seven hundred twenty-three million, two hundred forty-three thousand, six hundred eighty-six".