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144938688 = 2631967593
BaseRepresentation
bin10001010001110…
…01011011000000
3101002201122111120
420220321123000
5244101014223
622214312240
73406646526
oct1050713300
9332648446
10144938688
11748a5644
1240658680
132404924b
141536c316
15cacebe3
hex8a396c0

144938688 has 112 divisors (see below), whose sum is σ = 410382720. Its totient is φ = 45010944.

The previous prime is 144938687. The next prime is 144938699. The reversal of 144938688 is 886839441.

It is a super-2 number, since 2×1449386882 = 42014446558322688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144938688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144938683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244120 + ... + 244712.

Almost surely, 2144938688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205191360).

144938688 is an abundant number, since it is smaller than the sum of its proper divisors (265444032).

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

144938688 is a wasteful number, since it uses less digits than its factorization.

144938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 144938688 is about 12039.0484673831. The cubic root of 144938688 is about 525.2847289986.

The spelling of 144938688 in words is "one hundred forty-four million, nine hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 134 152 192 201 228 268 304 402 456 536 593 608 804 912 1072 1186 1216 1273 1608 1779 1824 2144 2372 2546 3216 3558 3648 3819 4288 4744 5092 6432 7116 7638 9488 10184 11267 12864 14232 15276 18976 20368 22534 28464 30552 33801 37952 39731 40736 45068 56928 61104 67602 79462 81472 90136 113856 119193 122208 135204 158924 180272 238386 244416 270408 317848 360544 476772 540816 635696 721088 754889 953544 1081632 1271392 1509778 1907088 2163264 2264667 2542784 3019556 3814176 4529334 6039112 7628352 9058668 12078224 18117336 24156448 36234672 48312896 72469344 144938688