Search a number
-
+
1438145148 = 2231129438737
BaseRepresentation
bin101010110111000…
…0101101001111100
310201020010100021010
41111232011221330
510421131121043
6354412235220
750432013666
oct12556055174
93636110233
101438145148
11678882810
1234176bb10
1319bc45c7b
14d9001536
15863cc133
hex55b85a7c

1438145148 has 96 divisors (see below), whose sum is σ = 3875477760. Its totient is φ = 410941440.

The previous prime is 1438145147. The next prime is 1438145167. The reversal of 1438145148 is 8415418341.

It is a super-2 number, since 2×14381451482 = 4136522933431883808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438145147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160236 + ... + 168972.

It is an arithmetic number, because the mean of its divisors is an integer number (40369560).

Almost surely, 21438145148 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 1438145148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937738880).

1438145148 is an abundant number, since it is smaller than the sum of its proper divisors (2437332612).

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

1438145148 is a wasteful number, since it uses less digits than its factorization.

1438145148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8825 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 1438145148 is about 37922.8842257548. The cubic root of 1438145148 is about 1128.7581700616.

The spelling of 1438145148 in words is "one billion, four hundred thirty-eight million, one hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 43 44 58 66 86 87 116 129 132 172 174 258 319 348 473 516 638 946 957 1247 1276 1419 1892 1914 2494 2838 3741 3828 4988 5676 7482 8737 13717 14964 17474 26211 27434 34948 41151 52422 54868 82302 96107 104844 164604 192214 253373 288321 375691 384428 506746 576642 751382 760119 1013492 1127073 1153284 1502764 1520238 2254146 2787103 3040476 4132601 4508292 5574206 8265202 8361309 10895039 11148412 12397803 16530404 16722618 21790078 24795606 32685117 33445236 43580156 49591212 65370234 119845429 130740468 239690858 359536287 479381716 719072574 1438145148