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144574312520 = 23511679075407
BaseRepresentation
bin1000011010100101001…
…1001111000001001000
3111211011122002000212102
42012221103033001020
54332042011000040
6150225545132532
713305454244261
oct2065123170110
9454148060772
10144574312520
115634a480910
122402978a148
13108304871b1
146dd6d5d968
153b625dd515
hex21a94cf048

144574312520 has 128 divisors (see below), whose sum is σ = 360624476160. Its totient is φ = 51721148160.

The previous prime is 144574312507. The next prime is 144574312529. The reversal of 144574312520 is 25213475441.

It is not an unprimeable number, because it can be changed into a prime (144574312529) 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, 26735657 + ... + 26741063.

It is an arithmetic number, because the mean of its divisors is an integer number (2817378720).

Almost surely, 2144574312520 is an apocalyptic number.

144574312520 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 144574312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180312238080).

144574312520 is an abundant number, since it is smaller than the sum of its proper divisors (216050163640).

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

144574312520 is a wasteful number, since it uses less digits than its factorization.

144574312520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

Adding to 144574312520 its reverse (25213475441), we get a palindrome (169787787961).

The spelling of 144574312520 in words is "one hundred forty-four billion, five hundred seventy-four million, three hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 907 1340 1474 1814 2680 2948 3628 3685 4535 5407 5896 7256 7370 9070 9977 10814 14740 18140 19954 21628 27035 29480 36280 39908 43256 49885 54070 59477 60769 79816 99770 108140 118954 121538 199540 216280 237908 243076 297385 303845 362269 399080 475816 486152 594770 607690 668459 724538 1189540 1215380 1336918 1449076 1811345 2379080 2430760 2673836 2898152 3342295 3622690 3984959 4904149 5347672 6684590 7245380 7969918 9808298 13369180 14490760 15939836 19616596 19924795 24520745 26738360 31879672 39233192 39849590 49041490 53945639 79699180 98082980 107891278 159398360 196165960 215782556 269728195 328577983 431565112 539456390 657155966 1078912780 1314311932 1642889915 2157825560 2628623864 3285779830 3614357813 6571559660 7228715626 13143119320 14457431252 18071789065 28914862504 36143578130 72287156260 144574312520