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40241111114204 = 227211132110442061
BaseRepresentation
bin10010010011001010111010…
…01000100010000111011100
312021111000100020000200110022
421021211131020202013130
520233302243421123304
6221330302232131312
711322216150514400
oct1111453510420734
9167430306020408
1040241111114204
111190518315a910
12461abb6836b38
13195b949c0b900
149d197455b100
1549bb6c4a6ebe
hex24995d2221dc

40241111114204 has 108 divisors (see below), whose sum is σ = 96769776492648. Its totient is φ = 14472327542400.

The previous prime is 40241111114189. The next prime is 40241111114209.

40241111114204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40241111114209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54856667 + ... + 55585394.

It is an arithmetic number, because the mean of its divisors is an integer number (896016449006).

Almost surely, 240241111114204 is an apocalyptic number.

40241111114204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40241111114204 is an abundant number, since it is smaller than the sum of its proper divisors (56528665378444).

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

40241111114204 is a wasteful number, since it uses less digits than its factorization.

40241111114204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110442116 (or 110442094 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 4024111 and 1114204, that added together give a palindrome (5138315).

The spelling of 40241111114204 in words is "forty trillion, two hundred forty-one billion, one hundred eleven million, one hundred fourteen thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 169 182 196 286 308 338 364 539 572 637 676 1001 1078 1183 1274 1859 2002 2156 2366 2548 3718 4004 4732 7007 7436 8281 13013 14014 16562 26026 28028 33124 52052 91091 182182 364364 110442061 220884122 441768244 773094427 1214862671 1435746793 1546188854 2429725342 2871493586 3092377708 4859450684 5411660989 5742987172 8504038697 10050227551 10823321978 15793214723 17008077394 18664708309 20100455102 21646643956 31586429446 34016154788 37329416618 40200910204 59528270879 63172858892 70351592857 74658833236 110552503061 119056541758 130652958163 140703185714 205311791399 221105006122 238113083516 261305916326 281406371428 410623582798 442210012244 522611832652 773867521427 821247165596 914570707141 1437182539793 1547735042854 1829141414282 2874365079586 3095470085708 3658282828564 5748730159172 10060277778551 20120555557102 40241111114204