Search a number
-
+
444114110241102 = 237131175359877691
BaseRepresentation
bin110010011111010110101111…
…1110001111101100101001110
32011020110220010221102200120110
41210332231133301331211032
5431202331144210203402
64212315112231500450
7162355120444034040
oct14476553761754516
92136426127380513
10444114110241102
11119565811222414
1241988358b27726
13160a6a1c81a562
147b95348095a90
153652661b9c56c
hex193eb5fc7d94e

444114110241102 has 128 divisors (see below), whose sum is σ = 1023754492366848. Its totient is φ = 125811909100800.

The previous prime is 444114110241101. The next prime is 444114110241119. The reversal of 444114110241102 is 201142011411444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444114110241102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444114110241101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57744647077 + ... + 57744654767.

It is an arithmetic number, because the mean of its divisors is an integer number (7998081971616).

Almost surely, 2444114110241102 is an apocalyptic number.

444114110241102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

444114110241102 is an abundant number, since it is smaller than the sum of its proper divisors (579640382125746).

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

444114110241102 is a wasteful number, since it uses less digits than its factorization.

444114110241102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15574.

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 444114110241102 its reverse (201142011411444), we get a palindrome (645256121652546).

The spelling of 444114110241102 in words is "four hundred forty-four trillion, one hundred fourteen billion, one hundred ten million, two hundred forty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 131 262 393 786 917 1753 1834 2751 3506 5259 5502 5987 7691 10518 11974 12271 15382 17961 23073 24542 35922 36813 41909 46146 53837 73626 83818 107674 125727 161511 229643 251454 323022 459286 688929 784297 1007521 1377858 1568594 1607501 2015042 2352891 3022563 3215002 4705782 4822503 5490079 6045126 7052647 9645006 10495211 10980158 13482323 14105294 16470237 20990422 21157941 26964646 31485633 32940474 40446969 42315882 46046017 62971266 73466477 80893938 92092034 94376261 138138051 146932954 188752522 220399431 276276102 283128783 322322119 440798862 566257566 644644238 966966357 1374872641 1766184313 1933932714 2749745282 3532368626 4124617923 5298552939 6032028227 8249235846 9624108487 10597105878 12064056454 12363290191 18096084681 19248216974 24726580382 28872325461 36192169362 37089870573 42224197589 57744650922 74179741146 80718667801 84448395178 126672592767 161437335602 242156003403 253345185534 484312006806 565030674607 1130061349214 1695092023821 3390184047642 10574145481931 21148290963862 31722436445793 63444872891586 74019018373517 148038036747034 222057055120551 444114110241102