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145111344 = 24372103599
BaseRepresentation
bin10001010011000…
…11100100110000
3101010001102100020
420221203210300
5244122030334
622222123440
73411266100
oct1051434460
9333042306
10145111344
1174a03334
1240720580
13240a9a01
14153b5200
15cb15e49
hex8a63930

145111344 has 120 divisors (see below), whose sum is σ = 441043200. Its totient is φ = 40989312.

The previous prime is 145111333. The next prime is 145111349. The reversal of 145111344 is 443111541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145111349) 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 23 ways as a sum of consecutive naturals, for example, 241957 + ... + 242555.

It is an arithmetic number, because the mean of its divisors is an integer number (3675360).

Almost surely, 2145111344 is an apocalyptic number.

145111344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600).

145111344 is an abundant number, since it is smaller than the sum of its proper divisors (295931856).

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

145111344 is a wasteful number, since it uses less digits than its factorization.

145111344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 145111344 is about 12046.2169995397. The cubic root of 145111344 is about 525.4932253699.

Adding to 145111344 its reverse (443111541), we get a palindrome (588222885).

The spelling of 145111344 in words is "one hundred forty-five million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 103 112 147 168 196 206 294 309 336 392 412 588 599 618 721 784 824 1176 1198 1236 1442 1648 1797 2163 2352 2396 2472 2884 3594 4193 4326 4792 4944 5047 5768 7188 8386 8652 9584 10094 11536 12579 14376 15141 16772 17304 20188 25158 28752 29351 30282 33544 34608 40376 50316 58702 60564 61697 67088 80752 88053 100632 117404 121128 123394 176106 185091 201264 234808 242256 246788 352212 370182 431879 469616 493576 704424 740364 863758 987152 1295637 1408848 1480728 1727516 2591274 2961456 3023153 3455032 5182548 6046306 6910064 9069459 10365096 12092612 18138918 20730192 24185224 36277836 48370448 72555672 145111344