Search a number
-
+
144130523740 = 225722940112647
BaseRepresentation
bin1000011000111011011…
…0010100001001011100
3111210000201000020002221
42012032312110021130
54330134403224430
6150113533155124
713261455144400
oct2061666241134
9453021006087
10144130523740
1156141a17825
1223b2502baa4
131078c553698
146d9403b100
153b3867a57a
hex218ed9425c

144130523740 has 144 divisors (see below), whose sum is σ = 365168502720. Its totient is φ = 47589427200.

The previous prime is 144130523729. The next prime is 144130523759. The reversal of 144130523740 is 47325031441.

It is a junction number, because it is equal to n+sod(n) for n = 144130523696 and 144130523705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11390097 + ... + 11402743.

It is an arithmetic number, because the mean of its divisors is an integer number (2535892380).

Almost surely, 2144130523740 is an apocalyptic number.

144130523740 is a gapful number since it is divisible by the number (10) 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 144130523740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182584251360).

144130523740 is an abundant number, since it is smaller than the sum of its proper divisors (221037978980).

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

144130523740 is a wasteful number, since it uses less digits than its factorization.

144130523740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 144130523740 in words is "one hundred forty-four billion, one hundred thirty million, five hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 401 406 490 580 802 812 980 1015 1421 1604 2005 2030 2807 2842 4010 4060 5614 5684 7105 8020 11228 11629 12647 14035 14210 19649 23258 25294 28070 28420 39298 46516 50588 56140 58145 63235 78596 81403 88529 98245 116290 126470 162806 177058 196490 232580 252940 325612 354116 366763 392980 407015 442645 569821 619703 733526 814030 885290 1139642 1239406 1467052 1628060 1770580 1833815 2279284 2478812 2567341 2849105 3098515 3667630 5071447 5134682 5698210 6197030 7335260 10142894 10269364 11396420 12394060 12836705 17971387 20285788 25357235 25673410 35500129 35942774 50714470 51346820 71000258 71885548 89856935 101428940 142000516 147071963 177500645 179713870 248500903 294143926 355001290 359427740 497001806 588287852 710002580 735359815 994003612 1029503741 1242504515 1470719630 2059007482 2485009030 2941439260 4118014964 4970018060 5147518705 7206526187 10295037410 14413052374 20590074820 28826104748 36032630935 72065261870 144130523740