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244434467172 = 223731321729179
BaseRepresentation
bin1110001110100101101…
…1011111100101100100
3212100221001120111100210
43203221123133211210
513001100210422142
6304142554535420
723442212455350
oct3435133374544
9770831514323
10244434467172
1194733980045
123b458737570
131a086011abc
14bb8b5ba460
15655940249c
hex38e96df964

244434467172 has 96 divisors (see below), whose sum is σ = 673084088320. Its totient is φ = 67562242560.

The previous prime is 244434467171. The next prime is 244434467177. The reversal of 244434467172 is 271764434442.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (244434467171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8362479 + ... + 8391657.

Almost surely, 2244434467172 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 244434467172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336542044160).

244434467172 is an abundant number, since it is smaller than the sum of its proper divisors (428649621148).

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

244434467172 is a wasteful number, since it uses less digits than its factorization.

244434467172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32441 (or 32439 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 244434467172 in words is "two hundred forty-four billion, four hundred thirty-four million, four hundred sixty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 3217 6434 9651 12868 19302 22519 29179 38604 45038 58358 67557 87537 90076 99727 116716 135114 175074 199454 204253 270228 299181 350148 398908 408506 598362 612759 698089 817012 904549 1196724 1225518 1396178 1809098 2094267 2451036 2713647 2792356 3618196 4188534 5427294 6331843 8377068 10854588 12663686 18995529 25327372 37991058 75982116 93868843 187737686 281606529 375475372 563213058 657081901 1126426116 1314163802 1971245703 2628327604 2909934133 3942491406 5819868266 7884982812 8729802399 11639736532 17459604798 20369538931 34919209596 40739077862 61108616793 81478155724 122217233586 244434467172