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144434010 = 23571953683
BaseRepresentation
bin10001001101111…
…10001101011010
3101001210000012210
420212332031122
5243433342020
622155415550
73402445260
oct1046761532
9331700183
10144434010
1174590456
12404545b6
1323c00616
141527a430
15ca303e0
hex89be35a

144434010 has 128 divisors (see below), whose sum is σ = 425502720. Its totient is φ = 30640896.

The previous prime is 144433979. The next prime is 144434039. The reversal of 144434010 is 10434441.

It is a super-2 number, since 2×1444340102 = 41722366489360200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211129 + ... + 211811.

It is an arithmetic number, because the mean of its divisors is an integer number (3324240).

Almost surely, 2144434010 is an apocalyptic number.

144434010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212751360).

144434010 is an abundant number, since it is smaller than the sum of its proper divisors (281068710).

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

144434010 is a wasteful number, since it uses less digits than its factorization.

144434010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144434010 is about 12018.0701445781. The cubic root of 144434010 is about 524.6743377130.

Adding to 144434010 its reverse (10434441), we get a palindrome (154868451).

The spelling of 144434010 in words is "one hundred forty-four million, four hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 53 57 70 95 105 106 114 133 159 190 210 265 266 285 318 371 399 530 570 665 683 742 795 798 1007 1113 1330 1366 1590 1855 1995 2014 2049 2226 3021 3415 3710 3990 4098 4781 5035 5565 6042 6830 7049 9562 10070 10245 11130 12977 14098 14343 15105 20490 21147 23905 25954 28686 30210 35245 36199 38931 42294 47810 64885 70490 71715 72398 77862 90839 105735 108597 129770 143430 180995 181678 194655 211470 217194 253393 272517 361990 389310 454195 506786 542985 545034 687781 760179 908390 1085970 1266965 1362585 1375562 1520358 2063343 2533930 2725170 3438905 3800895 4126686 4814467 6877810 7601790 9628934 10316715 14443401 20633430 24072335 28886802 48144670 72217005 144434010