Search a number
-
+
40134808111635 = 3351918186448059
BaseRepresentation
bin10010010000000100111001…
…11110110000101000010011
312021002211221210011122011000
421020002130332300220103
520230032041334033020
6221205402025553043
711311433650064166
oct1110023476605023
9167084853148130
1040134808111635
1111874092959686
12460248a045783
131951908623a63
149ca76c375add
15498ee9c31090
hex24809cfb0a13

40134808111635 has 64 divisors (see below), whose sum is σ = 75521025216000. Its totient is φ = 20166602970240.

The previous prime is 40134808111633. The next prime is 40134808111663. The reversal of 40134808111635 is 53611180843104.

40134808111635 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 8 + 0 + 8 + 1 + 1 + 1 + 635 = 666.

It is not a de Polignac number, because 40134808111635 - 21 = 40134808111633 is a prime.

It is a super-2 number, since 2×401348081116352 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40134808111633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42759765 + ... + 43688294.

It is an arithmetic number, because the mean of its divisors is an integer number (1180016019000).

Almost surely, 240134808111635 is an apocalyptic number.

40134808111635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40134808111635 is a deficient number, since it is larger than the sum of its proper divisors (35386217104365).

40134808111635 is a wasteful number, since it uses less digits than its factorization.

40134808111635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86448273 (or 86448267 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 40134808111635 its reverse (53611180843104), we get a palindrome (93745988954739).

The spelling of 40134808111635 in words is "forty trillion, one hundred thirty-four billion, eight hundred eight million, one hundred eleven thousand, six hundred thirty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 181 285 513 543 855 905 1629 2565 2715 3439 4887 8145 10317 17195 24435 30951 51585 92853 154755 464265 86448059 259344177 432240295 778032531 1296720885 1642513121 2334097593 3890162655 4927539363 8212565605 11670487965 14782618089 15647098679 24637696815 44347854267 46941296037 73913090445 78235493395 140823888111 221739271335 234706480185 297294874901 422471664333 704119440555 891884624703 1486474374505 2112358321665 2675653874109 4459423123515 8026961622327 13378269370545 40134808111635