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144440524000150 = 25273716368427659
BaseRepresentation
bin100000110101111000101110…
…000111111100101110010110
3200221102101020110120010002121
4200311320232013330232112
5122413003143121001100
61231111021035130154
742265324556360230
oct4065705607745626
9627371213503077
10144440524000150
1142028978272324
121424965b2a395a
1362798b5635b81
142794d5c7dd250
1511a736988151a
hex835e2e1fcb96

144440524000150 has 96 divisors (see below), whose sum is σ = 317272235777280. Its totient is φ = 47888412174720.

The previous prime is 144440524000127. The next prime is 144440524000153. The reversal of 144440524000150 is 51000425044441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144440524000153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32102980 + ... + 36324679.

It is an arithmetic number, because the mean of its divisors is an integer number (3304919122680).

Almost surely, 2144440524000150 is an apocalyptic number.

144440524000150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144440524000150 is an abundant number, since it is smaller than the sum of its proper divisors (172831711777130).

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

144440524000150 is a wasteful number, since it uses less digits than its factorization.

144440524000150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68427878 (or 68427873 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 144440524000150 its reverse (51000425044441), we get a palindrome (195440949044591).

The spelling of 144440524000150 in words is "one hundred forty-four trillion, four hundred forty billion, five hundred twenty-four million, one hundred fifty", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 25 35 37 50 70 74 163 175 185 259 326 350 370 518 815 925 1141 1295 1630 1850 2282 2590 4075 5705 6031 6475 8150 11410 12062 12950 28525 30155 42217 57050 60310 84434 150775 211085 301550 422170 1055425 2110850 68427659 136855318 342138295 478993613 684276590 957987226 1710691475 2394968065 2531823383 3421382950 4789936130 5063646766 11153708417 11974840325 12659116915 17722763681 22307416834 23949680650 25318233830 35445527362 55768542085 63295584575 78075958919 88613818405 111537084170 126591169150 156151917838 177227636810 278842710425 390379794595 412687211429 443069092025 557685420850 780759589190 825374422858 886138184050 1951898972975 2063436057145 2888810480003 3903797945950 4126872114290 5777620960006 10317180285725 14444052400015 20634360571450 28888104800030 72220262000075 144440524000150