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444012202144 = 25717127918109
BaseRepresentation
bin1100111011000010011…
…00001000100010100000
31120110001222021220010201
412131201030020202200
524233314110432034
6535550522234544
744036015306110
oct6354114104240
91513058256121
10444012202144
11161339349285
1272076955a54
1332b409c52c4
14176c157d040
15b83a766014
hex67613088a0

444012202144 has 96 divisors (see below), whose sum is σ = 1066124021760. Its totient is φ = 177686949888.

The previous prime is 444012202129. The next prime is 444012202189. The reversal of 444012202144 is 441202210444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 24562 + ... + 942670.

It is an arithmetic number, because the mean of its divisors is an integer number (11105458560).

Almost surely, 2444012202144 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 444012202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533062010880).

444012202144 is an abundant number, since it is smaller than the sum of its proper divisors (622111819616).

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

444012202144 is a wasteful number, since it uses less digits than its factorization.

444012202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918270 (or 918262 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 444012202144 its reverse (441202210444), we get a palindrome (885214412588).

The spelling of 444012202144 in words is "four hundred forty-four billion, twelve million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 127 136 224 238 254 272 476 508 544 889 952 1016 1778 1904 2032 2159 3556 3808 4064 4318 7112 8636 14224 15113 17272 28448 30226 34544 60452 69088 120904 241808 483616 918109 1836218 3672436 6426763 7344872 12853526 14689744 15607853 25707052 29379488 31215706 51414104 62431412 102828208 109254971 116599843 124862824 205656416 218509942 233199686 249725648 437019884 466399372 499451296 816198901 874039768 932798744 1632397802 1748079536 1865597488 1982197331 3264795604 3496159072 3731194976 3964394662 6529591208 7928789324 13059182416 13875381317 15857578648 26118364832 27750762634 31715157296 55501525268 63430314592 111003050536 222006101072 444012202144