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40011140004 = 223114340117579
BaseRepresentation
bin100101010000110110…
…011000101110100100
310211021110000111201020
4211100312120232210
51123420322440004
630214133331140
72614341035643
oct452066305644
9124243014636
1040011140004
1115a72277760
127907796ab0
133a08482c94
141d17c6b35a
1510929878d9
hex950d98ba4

40011140004 has 96 divisors (see below), whose sum is σ = 104480893440. Its totient is φ = 11812416000.

The previous prime is 40011140003. The next prime is 40011140017. The reversal of 40011140004 is 40004111004.

It is not an unprimeable number, because it can be changed into a prime (40011140003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267287 + ... + 2284865.

It is an arithmetic number, because the mean of its divisors is an integer number (1088342640).

Almost surely, 240011140004 is an apocalyptic number.

40011140004 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 40011140004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52240446720).

40011140004 is an abundant number, since it is smaller than the sum of its proper divisors (64469753436).

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

40011140004 is a wasteful number, since it uses less digits than its factorization.

40011140004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18041 (or 18039 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 40011140004 its reverse (40004111004), we get a palindrome (80015251008).

The spelling of 40011140004 in words is "forty billion, eleven million, one hundred forty thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 401 473 516 802 946 1203 1419 1604 1892 2406 2838 4411 4812 5676 8822 13233 17243 17579 17644 26466 34486 35158 51729 52737 52932 68972 70316 103458 105474 189673 193369 206916 210948 379346 386738 569019 580107 755897 758692 773476 1138038 1160214 1511794 2267691 2276076 2320428 3023588 4535382 7049179 8314867 9070764 14098358 16629734 21147537 24944601 28196716 33259468 42295074 49889202 77540969 84590148 99778404 155081938 232622907 303114697 310163876 465245814 606229394 909344091 930491628 1212458788 1818688182 3334261667 3637376364 6668523334 10002785001 13337046668 20005570002 40011140004