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404440000044 = 2232337109363343
BaseRepresentation
bin1011110001010101000…
…00001010011000101100
31102122221010012202000220
411320222200022120230
523111243120000134
6505444104451340
741135254164363
oct5705240123054
91378833182026
10404440000044
11146581922123
1266472179b50
132c1a5467bc2
1415809b307da
15a7c15d4149
hex5e2a80a62c

404440000044 has 96 divisors (see below), whose sum is σ = 1020618762240. Its totient is φ = 124315285248.

The previous prime is 404440000033. The next prime is 404440000057. The reversal of 404440000044 is 440000044404.

It is a junction number, because it is equal to n+sod(n) for n = 404439999969 and 404440000023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931437 + ... + 1294779.

It is an arithmetic number, because the mean of its divisors is an integer number (10631445440).

Almost surely, 2404440000044 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 404440000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510309381120).

404440000044 is an abundant number, since it is smaller than the sum of its proper divisors (616178762196).

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

404440000044 is a wasteful number, since it uses less digits than its factorization.

404440000044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363519 (or 363517 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404440000044 its reverse (440000044404), we get a palindrome (844440044448).

The spelling of 404440000044 in words is "four hundred four billion, four hundred forty million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 109 111 138 148 218 222 276 327 436 444 654 851 1308 1702 2507 2553 3404 4033 5014 5106 7521 8066 10028 10212 12099 15042 16132 24198 30084 48396 92759 185518 278277 363343 371036 556554 726686 1090029 1113108 1453372 2180058 4360116 8356889 13443691 16713778 25070667 26887382 33427556 39604387 40331073 50141334 53774764 79208774 80662146 100282668 118813161 158417548 161324292 237626322 309204893 475252644 618409786 910900901 927614679 1236819572 1465362319 1821801802 1855229358 2732702703 2930724638 3643603604 3710458716 4396086957 5465405406 5861449276 8792173914 10930810812 17584347828 33703333337 67406666674 101110000011 134813333348 202220000022 404440000044