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400442341312 = 261319314391733
BaseRepresentation
bin1011101001111000011…
…10010011011111000000
31102021121111220122012101
411310330032103133000
523030101214410222
6503543301040144
740634222511556
oct5647416233700
91367544818171
10400442341312
11144910297a32
12657373b6054
132b9b9186070
141554ac29bd6
15a63a672927
hex5d3c3937c0

400442341312 has 112 divisors (see below), whose sum is σ = 861281406720. Its totient is φ = 183628136448.

The previous prime is 400442341309. The next prime is 400442341339. The reversal of 400442341312 is 213143244004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231067998 + ... + 231069730.

It is an arithmetic number, because the mean of its divisors is an integer number (7690012560).

Almost surely, 2400442341312 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 400442341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430640703360).

400442341312 is an abundant number, since it is smaller than the sum of its proper divisors (460839065408).

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

400442341312 is a wasteful number, since it uses less digits than its factorization.

400442341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 400442341312 its reverse (213143244004), we get a palindrome (613585585316).

The spelling of 400442341312 in words is "four hundred billion, four hundred forty-two million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 193 208 386 416 772 832 1439 1544 1733 2509 2878 3088 3466 5018 5756 6176 6932 10036 11512 12352 13864 18707 20072 22529 23024 27728 37414 40144 45058 46048 55456 74828 80288 90116 92096 110912 149656 160576 180232 277727 299312 334469 360464 555454 598624 668938 720928 1110908 1197248 1337876 1441856 2221816 2493787 2675752 3610451 4348097 4443632 4987574 5351504 7220902 8696194 8887264 9975148 10703008 14441804 17392388 17774528 19950296 21406016 28883608 32419231 34784776 39900592 57767216 64838462 69569552 79801184 115534432 129676924 139139104 159602368 231068864 259353848 278278208 481300891 518707696 962601782 1037415392 1925203564 2074830784 3850407128 6256911583 7700814256 12513823166 15401628512 25027646332 30803257024 50055292664 100110585328 200221170656 400442341312