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444002200440 = 233516322699499
BaseRepresentation
bin1100111011000001001…
…01111110101101111000
31120110001021110202101020
412131200211332231320
524233304030403230
6535545524022440
744035534301451
oct6354045765570
91513037422336
10444002200440
11161333737907
1272073531a20
1332b3b902a36
14176c00d8128
15b83993c810
hex676097eb78

444002200440 has 64 divisors (see below), whose sum is σ = 1340178480000. Its totient is φ = 117674197632.

The previous prime is 444002200399. The next prime is 444002200457. The reversal of 444002200440 is 44002200444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 444002200440.

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, 11330190 + ... + 11369309.

It is an arithmetic number, because the mean of its divisors is an integer number (20940288750).

Almost surely, 2444002200440 is an apocalyptic number.

444002200440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444002200440 is an abundant number, since it is smaller than the sum of its proper divisors (896176279560).

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

444002200440 is a wasteful number, since it uses less digits than its factorization.

444002200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22699676 (or 22699672 counting only the distinct ones).

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

Adding to 444002200440 its reverse (44002200444), we get a palindrome (488004400884).

The spelling of 444002200440 in words is "four hundred forty-four billion, two million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 19560 22699499 45398998 68098497 90797996 113497495 136196994 181595992 226994990 272393988 340492485 453989980 544787976 680984970 907979960 1361969940 2723939880 3700018337 7400036674 11100055011 14800073348 18500091685 22200110022 29600146696 37000183370 44400220044 55500275055 74000366740 88800440088 111000550110 148000733480 222001100220 444002200440