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144651130 = 251317293761
BaseRepresentation
bin10001001111100…
…11001101111010
3101002012001001021
420213303031322
5244012314010
622204213054
73404341261
oct1047631572
9332161037
10144651130
1174719598
124053a18a
1323c783b0
14152d55d8
15ca748da
hex89f337a

144651130 has 128 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 46448640.

The previous prime is 144651127. The next prime is 144651139. The reversal of 144651130 is 31156441.

144651130 = T70 + T71 + ... + T953.

It can be written as a sum of positive squares in 32 ways, for example, as 4678569 + 139972561 = 2163^2 + 11831^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144651095 and 144651104.

It is not an unprimeable number, because it can be changed into a prime (144651139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2371300 + ... + 2371360.

Almost surely, 2144651130 is an apocalyptic number.

144651130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144651130 is an abundant number, since it is smaller than the sum of its proper divisors (175953350).

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

144651130 is a wasteful number, since it uses less digits than its factorization.

144651130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 144651130 is about 12027.0998166640. The cubic root of 144651130 is about 524.9371111366.

The spelling of 144651130 in words is "one hundred forty-four million, six hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 29 34 37 58 61 65 74 85 122 130 145 170 185 221 290 305 370 377 442 481 493 610 629 754 793 962 986 1037 1073 1105 1258 1586 1769 1885 2074 2146 2210 2257 2405 2465 3145 3538 3770 3965 4514 4810 4930 5185 5365 6290 6409 7930 8177 8845 10370 10730 11285 12818 13481 13949 16354 17690 18241 22570 22997 26962 27898 29341 30073 32045 36482 38369 40885 45994 58682 60146 64090 65453 67405 69745 76738 81770 91205 114985 130906 134810 139490 146705 150365 182410 191845 229970 237133 293410 300730 327265 383690 390949 474266 498797 654530 781898 850889 997594 1112701 1185665 1701778 1954745 2225402 2371330 2493985 3909490 4254445 4987970 5563505 8508890 11127010 14465113 28930226 72325565 144651130