Search a number
-
+
40044241244034 = 23219729394740699
BaseRepresentation
bin10010001101011100001101…
…10001100100111110000010
312020210012012000122001212100
421012232012301210332002
520222041101224302114
6221100023115411230
711302046425314336
oct1106560661447602
9166705160561770
1040044241244034
111183973825a575
1245a8a13453b16
131946204236881
149c621a0777c6
15496998c2d909
hex246b86c64f82

40044241244034 has 96 divisors (see below), whose sum is σ = 87595112404800. Its totient is φ = 13220697764736.

The previous prime is 40044241244011. The next prime is 40044241244069. The reversal of 40044241244034 is 43044214244004.

It is a happy number.

40044241244034 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 4 + 241 + 2 + 4 + 403 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40044241244034.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983891817 + ... + 983932515.

It is an arithmetic number, because the mean of its divisors is an integer number (912449087550).

Almost surely, 240044241244034 is an apocalyptic number.

40044241244034 is an abundant number, since it is smaller than the sum of its proper divisors (47550871160766).

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

40044241244034 is a wasteful number, since it uses less digits than its factorization.

40044241244034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42144 (or 42141 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40044241244034 its reverse (43044214244004), we get a palindrome (83088455488038).

The spelling of 40044241244034 in words is "forty trillion, forty-four billion, two hundred forty-one million, two hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 197 293 394 586 591 879 947 1182 1758 1773 1894 2637 2841 3546 5274 5682 8523 17046 40699 57721 81398 115442 122097 173163 186559 244194 277471 346326 366291 373118 519489 554942 559677 732582 832413 1038978 1119354 1664826 1679031 2497239 3358062 4994478 8017703 11924807 16035406 23849614 24053109 35774421 38541953 48106218 54661787 71548842 72159327 77083906 107323263 109323574 115625859 144318654 163985361 214646526 231251718 327970722 346877577 491956083 693755154 983912166 2349186979 4698373958 7047560937 7592764741 11292792229 14095121874 15185529482 21142682811 22585584458 22778294223 33878376687 42285365622 45556588446 67756753374 68334882669 101635130061 136669765338 203270260122 2224680069113 4449360138226 6674040207339 13348080414678 20022120622017 40044241244034