Search a number
-
+
40642451535042 = 23271940316624189
BaseRepresentation
bin10010011110110110011101…
…11000101111010011000010
312022220101021022211111011100
421033123032320233103002
520311341220043110132
6222234515014155230
711363214560016030
oct1117331670572302
9168811238744140
1040642451535042
1111a4a404388225
124684942952b16
13198a74a168176
14a07168763550
154a730b8c737c
hex24f6cee2f4c2

40642451535042 has 48 divisors (see below), whose sum is σ = 100643644221120. Its totient is φ = 11611529840736.

The previous prime is 40642451535019. The next prime is 40642451535137. The reversal of 40642451535042 is 24053515424604.

It is a happy number.

40642451535042 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 24 + 51 + 535 + 0 + 42 = 666.

It is a super-3 number, since 3×406424515350423 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5867317 + ... + 10756872.

It is an arithmetic number, because the mean of its divisors is an integer number (2096742587940).

Almost surely, 240642451535042 is an apocalyptic number.

40642451535042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40642451535042 is an abundant number, since it is smaller than the sum of its proper divisors (60001192686078).

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

40642451535042 is a wasteful number, since it uses less digits than its factorization.

40642451535042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643607 (or 16643604 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 40642451535042 its reverse (24053515424604), we get a palindrome (64695966959646).

The spelling of 40642451535042 in words is "forty trillion, six hundred forty-two billion, four hundred fifty-one million, five hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 19403 38806 58209 116418 135821 174627 271642 349254 407463 814926 1222389 2444778 16624189 33248378 49872567 99745134 116369323 149617701 232738646 299235402 349107969 698215938 1047323907 2094647814 322559139167 645118278334 967677417501 1935354835002 2257913974169 2903032252503 4515827948338 5806064505006 6773741922507 13547483845014 20321225767521 40642451535042