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44034244243044 = 2231119711091526929
BaseRepresentation
bin10100000001100100001010…
…11111000110111001100100
312202220122002012012111112120
422000302011133012321210
521232424113011234134
6233353015203145540
712163240423236126
oct1200620537067144
9182818065174476
1044034244243044
11130378aa9a5350
124b3216b3752b0
131b75546b54bb3
14ac33a97d5216
1551567221e649
hex280c857c6e64

44034244243044 has 96 divisors (see below), whose sum is σ = 112757794934400. Its totient is φ = 13263995996160.

The previous prime is 44034244243019. The next prime is 44034244243079.

44034244243044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44034244242987 and 44034244243005.

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, 28074972 + ... + 29601900.

It is an arithmetic number, because the mean of its divisors is an integer number (1174560363900).

Almost surely, 244034244243044 is an apocalyptic number.

44034244243044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44034244243044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56378897467200).

44034244243044 is an abundant number, since it is smaller than the sum of its proper divisors (68723550691356).

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

44034244243044 is a wasteful number, since it uses less digits than its factorization.

44034244243044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528253 (or 1528251 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 4403424 and 4243044, that added together give a palindrome (8646468).

The spelling of 44034244243044 in words is "forty-four trillion, thirty-four billion, two hundred forty-four million, two hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 197 394 591 788 1109 1182 2167 2218 2364 3327 4334 4436 6501 6654 8668 12199 13002 13308 24398 26004 36597 48796 73194 146388 218473 436946 655419 873892 1310838 1526929 2403203 2621676 3053858 4580787 4806406 6107716 7209609 9161574 9612812 14419218 16796219 18323148 28838436 33592438 50388657 67184876 100777314 201554628 300805013 601610026 902415039 1203220052 1693364261 1804830078 3308855143 3386728522 3609660156 5080092783 6617710286 6773457044 9926565429 10160185566 13235420572 18627006871 19853130858 20320371132 37254013742 39706261716 55881020613 74508027484 111762041226 223524082452 333592759417 667185518834 1000778278251 1334371037668 2001556556502 3669520353587 4003113113004 7339040707174 11008561060761 14678081414348 22017122121522 44034244243044