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144400152 = 233131924359
BaseRepresentation
bin10001001101101…
…01111100011000
3101001201021202210
420212311330120
5243431301102
622154555120
73402244461
oct1046657430
9331637683
10144400152
1174567a76
1240438aa0
1323bbb0a0
141526bd68
15ca2536c
hex89b5f18

144400152 has 64 divisors (see below), whose sum is σ = 409248000. Its totient is φ = 42090624.

The previous prime is 144400127. The next prime is 144400177. The reversal of 144400152 is 251004441.

It is a happy number.

144400152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144400127) and next prime (144400177).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6252 + ... + 18107.

It is an arithmetic number, because the mean of its divisors is an integer number (6394500).

Almost surely, 2144400152 is an apocalyptic number.

144400152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144400152 is an abundant number, since it is smaller than the sum of its proper divisors (264847848).

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

144400152 is a wasteful number, since it uses less digits than its factorization.

144400152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24400 (or 24396 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 144400152 is about 12016.6614331935. The cubic root of 144400152 is about 524.6333367235.

Adding to 144400152 its reverse (251004441), we get a palindrome (395404593).

The spelling of 144400152 in words is "one hundred forty-four million, four hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 24359 48718 73077 97436 146154 194872 292308 316667 462821 584616 633334 925642 950001 1266668 1388463 1851284 1900002 2533336 2776926 3702568 3800004 5553852 6016673 7600008 11107704 12033346 18050019 24066692 36100038 48133384 72200076 144400152