Search a number
-
+
40335422040 = 2333537347613
BaseRepresentation
bin100101100100001011…
…011011001001011000
310212010001012202001000
4211210023123021120
51130101332001130
630310240025000
72625356300424
oct454413331130
9125101182030
1040335422040
1116119326641
127998302160
133a5a703244
141d48d61b84
1510b1191260
hex9642db258

40335422040 has 64 divisors (see below), whose sum is σ = 134451410400. Its totient is φ = 10756112256.

The previous prime is 40335422033. The next prime is 40335422041. The reversal of 40335422040 is 4022453304.

40335422040 is a `hidden beast` number, since 403 + 3 + 54 + 2 + 204 + 0 = 666.

It is a super-2 number, since 2×403354220402 (a number of 22 digits) contains 22 as substring.

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 = 40335421995 and 40335422013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40335422041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18672727 + ... + 18674886.

Almost surely, 240335422040 is an apocalyptic number.

40335422040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40335422040 is an abundant number, since it is smaller than the sum of its proper divisors (94115988360).

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

40335422040 is a wasteful number, since it uses less digits than its factorization.

40335422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37347633 (or 37347623 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 40335422040 its reverse (4022453304), we get a palindrome (44357875344).

The spelling of 40335422040 in words is "forty billion, three hundred thirty-five million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 37347613 74695226 112042839 149390452 186738065 224085678 298780904 336128517 373476130 448171356 560214195 672257034 746952260 896342712 1008385551 1120428390 1344514068 1493904520 1680642585 2016771102 2240856780 2689028136 3361285170 4033542204 4481713560 5041927755 6722570340 8067084408 10083855510 13445140680 20167711020 40335422040