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44401002144 = 2531042744357
BaseRepresentation
bin101001010110100000…
…011000011010100000
311020121101022121110220
4221112200120122200
51211413124032034
632221511323040
73131204201562
oct512640303240
9136541277426
1044401002144
11179152320a4
128731980480
134257aa6745
142212ca7332
15124d06c749
hexa568186a0

44401002144 has 48 divisors (see below), whose sum is σ = 116566436448. Its totient is φ = 14798580992.

The previous prime is 44401002137. The next prime is 44401002157. The reversal of 44401002144 is 44120010444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 978814 + ... + 1023170.

It is an arithmetic number, because the mean of its divisors is an integer number (2428467426).

Almost surely, 244401002144 is an apocalyptic number.

It is an amenable number.

44401002144 is an abundant number, since it is smaller than the sum of its proper divisors (72165434304).

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

44401002144 is a wasteful number, since it uses less digits than its factorization.

44401002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54797 (or 54789 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 44401002144 its reverse (44120010444), we get a palindrome (88521012588).

The spelling of 44401002144 in words is "forty-four billion, four hundred one million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10427 20854 31281 41708 44357 62562 83416 88714 125124 133071 166832 177428 250248 266142 333664 354856 500496 532284 709712 1000992 1064568 1419424 2129136 4258272 462510439 925020878 1387531317 1850041756 2775062634 3700083512 5550125268 7400167024 11100250536 14800334048 22200501072 44401002144