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400104440010 = 232511599674701
BaseRepresentation
bin1011101001010000001…
…01010100000011001010
31102020201222002110202100
411310220011110003022
523023403214040020
6503445550414230
740622650424562
oct5645005240312
91366658073670
10400104440010
11144757586760
1265662201376
132b964177a72
1415517dcbda2
15a61ab78a90
hex5d281540ca

400104440010 has 96 divisors (see below), whose sum is σ = 1136737929600. Its totient is φ = 96832944000.

The previous prime is 400104439951. The next prime is 400104440053. The reversal of 400104440010 is 10044401004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255660 + ... + 930360.

It is an arithmetic number, because the mean of its divisors is an integer number (11841020100).

Almost surely, 2400104440010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400104440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568368964800).

400104440010 is an abundant number, since it is smaller than the sum of its proper divisors (736633489590).

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

400104440010 is a wasteful number, since it uses less digits than its factorization.

400104440010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675324 (or 675321 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 400104440010 its reverse (10044401004), we get a palindrome (410148841014).

The spelling of 400104440010 in words is "four hundred billion, one hundred four million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 599 990 1198 1797 2995 3594 5391 5990 6589 8985 10782 13178 17970 19767 26955 32945 39534 53910 59301 65890 98835 118602 197670 296505 593010 674701 1349402 2024103 3373505 4048206 6072309 6747010 7421711 10120515 12144618 14843422 20241030 22265133 30361545 37108555 44530266 60723090 66795399 74217110 111325665 133590798 222651330 333976995 404145899 667953990 808291798 1212437697 2020729495 2424875394 3637313091 4041458990 4445604889 6062188485 7274626182 8891209778 12124376970 13336814667 18186565455 22228024445 26673629334 36373130910 40010444001 44456048890 66684073335 80020888002 133368146670 200052220005 400104440010