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25114002144 = 2537211485351
BaseRepresentation
bin10111011000111010…
…010100001011100000
32101211020102111100120
4113120322110023200
5402413141032034
615312012120240
71546230332100
oct273072241340
971736374316
1025114002144
11a718221580
124a4a766080
1324a30403ca
141303581200
159bebe0c49
hex5d8e942e0

25114002144 has 144 divisors (see below), whose sum is σ = 83659153536. Its totient is φ = 6523104000.

The previous prime is 25114002107. The next prime is 25114002149. The reversal of 25114002144 is 44120041152.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25114002149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190932 + ... + 294419.

It is an arithmetic number, because the mean of its divisors is an integer number (580966344).

Almost surely, 225114002144 is an apocalyptic number.

25114002144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25114002144 is an abundant number, since it is smaller than the sum of its proper divisors (58545151392).

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

25114002144 is a wasteful number, since it uses less digits than its factorization.

25114002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485389 (or 485374 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 25114002144 its reverse (44120041152), we get a palindrome (69234043296).

The spelling of 25114002144 in words is "twenty-five billion, one hundred fourteen million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 485351 970702 1456053 1941404 2912106 3397457 3882808 5338861 5824212 6794914 7765616 10192371 10677722 11648424 13589828 15531232 16016583 20384742 21355444 23296848 23782199 27179656 32033166 37372027 40769484 42710888 46593696 47564398 54359312 64066332 71346597 74744054 81538968 85421776 95128796 108718624 112116081 128132664 142693194 149488108 163077936 170843552 190257592 224232162 256265328 261604189 285386388 298976216 326155872 380515184 448464324 512530656 523208378 570772776 597952432 761030368 784812567 896928648 1046416756 1141545552 1195904864 1569625134 1793857296 2092833512 2283091104 3139250268 3587714592 4185667024 6278500536 8371334048 12557001072 25114002144