Search a number
-
+
40015620135 = 3354115834567
BaseRepresentation
bin100101010001000111…
…011110100000100111
310211021202110010022000
4211101013132200213
51123422444321020
630214413340343
72614424105361
oct452107364047
9124252403260
1040015620135
1115a74857747
1279091976b3
133a0939124a
141d186b5d31
151093070090
hex9511de827

40015620135 has 64 divisors (see below), whose sum is σ = 72935976960. Its totient is φ = 20803426560.

The previous prime is 40015620107. The next prime is 40015620143. The reversal of 40015620135 is 53102651004.

40015620135 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 5 + 620 + 1 + 35 = 666.

It is not a de Polignac number, because 40015620135 - 25 = 40015620103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40015620099 and 40015620108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8759622 + ... + 8764188.

It is an arithmetic number, because the mean of its divisors is an integer number (1139624640).

Almost surely, 240015620135 is an apocalyptic number.

40015620135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40015620135 is a deficient number, since it is larger than the sum of its proper divisors (32920356825).

40015620135 is a wasteful number, since it uses less digits than its factorization.

40015620135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 40015620135 in words is "forty billion, fifteen million, six hundred twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1583 1845 4567 4749 5535 7915 13701 14247 22835 23745 41103 42741 64903 68505 71235 123309 187247 194709 205515 213705 324515 561741 584127 616545 936235 973545 1685223 1752381 2808705 2920635 5055669 7229561 8426115 8761905 21688683 25278345 36147805 65066049 108443415 195198147 296412001 325330245 889236003 975990735 1482060005 2667708009 4446180015 8003124027 13338540045 40015620135