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144025630112 = 25713279717683
BaseRepresentation
bin1000011000100010011…
…0001011010110100000
3111202202101122002002202
42012020212023112200
54324431030130422
6150055305032332
713256042441150
oct2061046132640
9452671562082
10144025630112
1156098793681
1223ab5a856a8
13107738b8650
146d84134760
153b2e35ab92
hex218898b5a0

144025630112 has 96 divisors (see below), whose sum is σ = 349129694592. Its totient is φ = 56953580544.

The previous prime is 144025630097. The next prime is 144025630129. The reversal of 144025630112 is 211036520441.

It is a super-2 number, since 2×1440256301122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8136023 + ... + 8153705.

It is an arithmetic number, because the mean of its divisors is an integer number (3636767652).

Almost surely, 2144025630112 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 144025630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174564847296).

144025630112 is an abundant number, since it is smaller than the sum of its proper divisors (205104064480).

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

144025630112 is a wasteful number, since it uses less digits than its factorization.

144025630112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 20502 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 144025630112 in words is "one hundred forty-four billion, twenty-five million, six hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2797 2912 5594 11188 17683 19579 22376 35366 36361 39158 44752 70732 72722 78316 89504 123781 141464 145444 156632 229879 247562 254527 282928 290888 313264 459758 495124 509054 565856 581776 626528 919516 990248 1018108 1163552 1609153 1839032 1980496 2036216 3218306 3678064 3960992 4072432 6436612 7356128 8144864 12873224 25746448 49459351 51492896 98918702 197837404 346215457 395674808 642971563 692430914 791349616 1285943126 1384861828 1582699232 2571886252 2769723656 4500800941 5143772504 5539447312 9001601882 10287545008 11078894624 18003203764 20575090016 36006407528 72012815056 144025630112