Search a number
-
+
244001244032 = 2771331675739
BaseRepresentation
bin1110001100111110011…
…0111000001110000000
3212022210212101110221022
43203033212320032000
512444203304302112
6304032001245012
723425402232210
oct3431746701600
9768725343838
10244001244032
1194531383097
123b357633768
131a01733a450
14bb49c48240
156531379d72
hex38cf9b8380

244001244032 has 128 divisors (see below), whose sum is σ = 617572300800. Its totient is φ = 93414021120.

The previous prime is 244001244017. The next prime is 244001244037. The reversal of 244001244032 is 230442100442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 244001243992 and 244001244010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244001244037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23219 + ... + 698957.

It is an arithmetic number, because the mean of its divisors is an integer number (4824783600).

Almost surely, 2244001244032 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 244001244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308786150400).

244001244032 is an abundant number, since it is smaller than the sum of its proper divisors (373571056768).

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

244001244032 is a wasteful number, since it uses less digits than its factorization.

244001244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675804 (or 675792 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 244001244032 its reverse (230442100442), we get a palindrome (474443344474).

The spelling of 244001244032 in words is "two hundred forty-four billion, one million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 896 992 1456 1612 1664 1736 1984 2821 2912 3224 3472 3968 5642 5824 6448 6944 11284 11648 12896 13888 22568 25792 27776 45136 51584 90272 180544 361088 675739 1351478 2702956 4730173 5405912 8784607 9460346 10811824 17569214 18920692 20947909 21623648 35138428 37841384 41895818 43247296 61492249 70276856 75682768 83791636 86494592 122984498 140553712 146635363 151365536 167583272 245968996 272322817 281107424 293270726 302731072 335166544 491937992 544645634 562214848 586541452 605462144 670333088 983875984 1089291268 1124429696 1173082904 1340666176 1906259719 1967751968 2178582536 2346165808 2681332352 3812519438 3935503936 4357165072 4692331616 7625038876 7871007872 8714330144 9384663232 15250077752 17428660288 18769326464 30500155504 34857320576 61000311008 122000622016 244001244032