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40001114104 = 23717371636967
BaseRepresentation
bin100101010000010000…
…001000111111111000
310211020202011010202121
4211100100020333320
51123410241122404
630213134411024
72614156600630
oct452020107770
9124222133677
1040001114104
1115a6764a096
127904360a74
133a063826b3
141d167bb6c0
151091b56e54
hex950408ff8

40001114104 has 128 divisors (see below), whose sum is σ = 93797084160. Its totient is φ = 15600273408.

The previous prime is 40001114063. The next prime is 40001114107. The reversal of 40001114104 is 40141110004.

It is a super-2 number, since 2×400011141042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40001114107) 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, 5738029 + ... + 5744995.

It is an arithmetic number, because the mean of its divisors is an integer number (732789720).

Almost surely, 240001114104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40001114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46898542080).

40001114104 is an abundant number, since it is smaller than the sum of its proper divisors (53795970056).

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

40001114104 is a wasteful number, since it uses less digits than its factorization.

40001114104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 40001114104 its reverse (40141110004), we get a palindrome (80142224108).

The spelling of 40001114104 in words is "forty billion, one million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 37 56 68 74 119 136 148 163 238 259 296 326 476 518 629 652 952 1036 1141 1258 1304 2072 2282 2516 2771 4403 4564 5032 5542 6031 6967 8806 9128 11084 12062 13934 17612 19397 22168 24124 27868 35224 38794 42217 48248 48769 55736 77588 84434 97538 102527 118439 155176 168868 195076 205054 236878 257779 337736 390152 410108 473756 515558 717689 820216 829073 947512 1031116 1135621 1435378 1658146 1804453 2062232 2271242 2870756 3316292 3608906 4382243 4542484 5741512 6632584 7217812 7949347 8764486 9084968 14435624 15898694 17528972 19305557 30675701 31797388 35057944 38611114 42017977 61351402 63594776 77222228 84035954 122702804 135138899 154444456 168071908 245405608 270277798 294125839 336143816 540555596 588251678 714305609 1081111192 1176503356 1428611218 2353006712 2857222436 5000139263 5714444872 10000278526 20000557052 40001114104