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40240204004 = 227111325913103
BaseRepresentation
bin100101011110100000…
…001100100011100100
310211212102001011110002
4211132200030203210
51124402443012004
630252555120432
72623122043010
oct453640144344
9124772034402
1040240204004
111607a600950
127970443118
133a43a75200
141d3a457540
1510a7b3361e
hex95e80c8e4

40240204004 has 144 divisors (see below), whose sum is σ = 96688650240. Its totient is φ = 14225627520.

The previous prime is 40240204003. The next prime is 40240204061. The reversal of 40240204004 is 40040204204.

It is not an unprimeable number, because it can be changed into a prime (40240204003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064517 + ... + 3077619.

It is an arithmetic number, because the mean of its divisors is an integer number (671448960).

Almost surely, 240240204004 is an apocalyptic number.

40240204004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40240204004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48344325120).

40240204004 is an abundant number, since it is smaller than the sum of its proper divisors (56448446236).

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

40240204004 is a wasteful number, since it uses less digits than its factorization.

40240204004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13210 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40240204004 its reverse (40040204204), we get a palindrome (80280408208).

The spelling of 40240204004 in words is "forty billion, two hundred forty million, two hundred four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 59 77 91 118 143 154 169 182 236 286 308 338 364 413 572 649 676 767 826 1001 1183 1298 1534 1652 1859 2002 2366 2596 3068 3718 4004 4543 4732 5369 7436 8437 9086 9971 10738 13013 13103 16874 18172 19942 21476 26026 26206 33748 39884 52052 52412 59059 69797 91721 109681 118118 139594 144133 170339 183442 219362 236236 279188 288266 340678 366884 438724 576532 681356 767767 773077 1008931 1192373 1535534 1546154 1873729 2017862 2214407 2384746 3071068 3092308 3747458 4035724 4428814 4769492 5411539 7494916 8503847 8857628 10050001 10823078 13116103 15500849 17007694 20100002 21646156 24358477 26232206 31001698 34015388 40200004 48716954 52464412 59526929 62003396 70350007 97433908 110550011 119053858 130650013 140700014 170509339 221100022 238107716 261300026 281400028 341018678 442200044 522600052 682037356 773850077 914550091 1437150143 1547700154 1829100182 2874300286 3095400308 3658200364 5748600572 10060051001 20120102002 40240204004