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144313000104 = 233713229328817
BaseRepresentation
bin1000011001100110111…
…0011010000010101000
3111210111102100222121210
42012121232122002220
54331023112000404
6150144012233120
713266132155430
oct2063156320250
9453442328553
10144313000104
1156225a20a39
1223b7616b7a0
13107bb2b3770
146db037b2c0
153b496c2689
hex2199b9a0a8

144313000104 has 128 divisors (see below), whose sum is σ = 444249066240. Its totient is φ = 38042652672.

The previous prime is 144313000103. The next prime is 144313000129. The reversal of 144313000104 is 401000313441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (144313000103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993504 + ... + 5022320.

It is an arithmetic number, because the mean of its divisors is an integer number (3470695830).

Almost surely, 2144313000104 is an apocalyptic number.

144313000104 is a gapful number since it is divisible by the number (14) 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 144313000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222124533120).

144313000104 is an abundant number, since it is smaller than the sum of its proper divisors (299936066136).

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

144313000104 is a wasteful number, since it uses less digits than its factorization.

144313000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31139 (or 31135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 144313000104 its reverse (401000313441), we get a palindrome (545313313545).

The spelling of 144313000104 in words is "one hundred forty-four billion, three hundred thirteen million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2293 4586 6879 9172 13758 16051 18344 27516 28817 29809 32102 48153 55032 57634 59618 64204 86451 89427 96306 115268 119236 128408 172902 178854 192612 201719 208663 230536 238472 345804 357708 374621 385224 403438 417326 605157 625989 691608 715416 749242 806876 834652 1123863 1210314 1251978 1498484 1613752 1669304 2247726 2420628 2503956 2622347 2996968 4495452 4841256 5007912 5244694 7867041 8990904 10489388 15734082 20978776 31468164 62936328 66077381 132154762 198232143 264309524 396464286 462541667 528619048 792928572 859005953 925083334 1387625001 1585857144 1718011906 1850166668 2577017859 2775250002 3436023812 3700333336 5154035718 5550500004 6013041671 6872047624 10308071436 11101000008 12026083342 18039125013 20616142872 24052166684 36078250026 48104333368 72156500052 144313000104