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44202130403144 = 23717307151240421
BaseRepresentation
bin10100000110011100111000…
…10001111110111101001000
312210111200102110122002110012
422003032130101332331020
521243201430340400034
6234002102310211052
712211332666115550
oct1203163421767510
9183450373562405
1044202130403144
11130a20222a129a
124b5a804053a88
131b88320b8682c
14acb57481c160
15519beb1bbcce
hex28339c47ef48

44202130403144 has 64 divisors (see below), whose sum is σ = 100617227948160. Its totient is φ = 17771354311680.

The previous prime is 44202130403141. The next prime is 44202130403147. The reversal of 44202130403144 is 44130403120244.

44202130403144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44202130403141) and next prime (44202130403147).

It is a self number, because there is not a number n which added to its sum of digits gives 44202130403144.

It is not an unprimeable number, because it can be changed into a prime (44202130403141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75327947 + ... + 75912474.

It is an arithmetic number, because the mean of its divisors is an integer number (1572144186690).

Almost surely, 244202130403144 is an apocalyptic number.

It is an amenable number.

44202130403144 is an abundant number, since it is smaller than the sum of its proper divisors (56415097545016).

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

44202130403144 is a wasteful number, since it uses less digits than its factorization.

44202130403144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151240758 (or 151240754 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 44202130403144 its reverse (44130403120244), we get a palindrome (88332533523388).

The spelling of 44202130403144 in words is "forty-four trillion, two hundred two billion, one hundred thirty million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 307 476 614 952 1228 2149 2456 4298 5219 8596 10438 17192 20876 36533 41752 73066 146132 292264 151240421 302480842 604961684 1058682947 1209923368 2117365894 2571087157 4234731788 5142174314 8469463576 10284348628 17997610099 20568697256 35995220198 46430809247 71990440396 92861618494 143980880792 185723236988 325015664729 371446473976 650031329458 789323757199 1300062658916 1578647514398 2600125317832 3157295028796 5525266300393 6314590057592 11050532600786 22101065201572 44202130403144