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40240441243100 = 22527138319415607
BaseRepresentation
bin10010010011001001101010…
…01101001011010111011100
312021110221121112112201001102
421021210311031023113130
520233244410424234400
6221330111542332232
711322163434636410
oct1111446515132734
9167427545481042
1040240441243100
111190496a01982a
12461aa4a42a078
13195b8711bb087
149d190d5c6d40
1549bb2d7869d5
hex24993534b5dc

40240441243100 has 72 divisors (see below), whose sum is σ = 99797255900160. Its totient is φ = 13796589769920.

The previous prime is 40240441243073. The next prime is 40240441243117. The reversal of 40240441243100 is 134214404204.

40240441243100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402404412431002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96615497 + ... + 97031103.

Almost surely, 240240441243100 is an apocalyptic number.

It is an amenable number.

40240441243100 is an abundant number, since it is smaller than the sum of its proper divisors (59556814657060).

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

40240441243100 is a wasteful number, since it uses less digits than its factorization.

40240441243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553947 (or 553940 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 40240441243100 its reverse (134214404204), we get a palindrome (40374655647304).

The spelling of 40240441243100 in words is "forty trillion, two hundred forty billion, four hundred forty-one million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 138319 276638 415607 553276 691595 831214 968233 1383190 1662428 1936466 2078035 2766380 2909249 3457975 3872932 4156070 4841165 5818498 6915950 8312140 9682330 10390175 11636996 13831900 14546245 19364660 20780350 24205825 29092490 41560700 48411650 58184980 72731225 96823300 145462450 290924900 57486344633 114972689266 229945378532 287431723165 402404412431 574863446330 804808824862 1149726892660 1437158615825 1609617649724 2012022062155 2874317231650 4024044124310 5748634463300 8048088248620 10060110310775 20120220621550 40240441243100