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244400034144324 = 2232112711025334739
BaseRepresentation
bin110111100100011111010001…
…001101111110000001000100
31012001100102012121001212000110
4313210133101031332001010
5224013222232220104244
62223443454203513020
7102323214452454552
oct6744372115760104
91161312177055013
10244400034144324
1170967521862533
12234b2444b28770
13a64aa94086836
14444d04bd6cbd2
151d3c6146569b9
hexde47d137e044

244400034144324 has 96 divisors (see below), whose sum is σ = 575156356024320. Its totient is φ = 80771185756800.

The previous prime is 244400034144313. The next prime is 244400034144347. The reversal of 244400034144324 is 423441430004442.

It is a happy number.

244400034144324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2444000341443242 (a number of 30 digits) contains 22 as substring.

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, 7035304147 + ... + 7035338885.

It is an arithmetic number, because the mean of its divisors is an integer number (5991212041920).

Almost surely, 2244400034144324 is an apocalyptic number.

It is an amenable number.

244400034144324 is an abundant number, since it is smaller than the sum of its proper divisors (330756321879996).

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

244400034144324 is a wasteful number, since it uses less digits than its factorization.

244400034144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45481 (or 45479 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 244400034144324 its reverse (423441430004442), we get a palindrome (667841464148766).

The spelling of 244400034144324 in words is "two hundred forty-four trillion, four hundred billion, thirty-four million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 211 271 422 542 633 813 844 1084 1266 1626 2532 3252 10253 20506 30759 34739 41012 57181 61518 69478 104217 114362 123036 138956 171543 208434 228724 343086 416868 686172 2163383 2778563 4326766 5557126 6490149 7329929 8335689 8653532 9414269 11114252 12980298 14659858 16671378 18828538 21989787 25960596 28242807 29319716 33342756 37657076 43979574 56485614 87959148 112971228 356178967 586276793 712357934 1068536901 1172553586 1424715868 1758830379 1986410759 2137073802 2345107172 3517660758 3972821518 4274147604 5959232277 7035321516 7945643036 11918464554 23836929108 75153762037 96524500057 150307524074 193049000114 225461286111 289573500171 300615048148 386098000228 450922572222 579147000342 901845144444 1158294000684 20366669512027 40733339024054 61100008536081 81466678048108 122200017072162 244400034144324