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144033032 = 231113137919
BaseRepresentation
bin10001001010111…
…00010100001000
3101001000122011202
420211130110020
5243333024112
622143043332
73366155243
oct1045342410
9331018152
10144033032
1174337170
12402a0548
1323abcc60
14151b425a
15c9a16c2
hex895c508

144033032 has 64 divisors (see below), whose sum is σ = 319939200. Its totient is φ = 59927040.

The previous prime is 144033023. The next prime is 144033047. The reversal of 144033032 is 230330441.

It is a super-2 number, since 2×1440330322 = 41491028614226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144032995 and 144033013.

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, 156269 + ... + 157187.

It is an arithmetic number, because the mean of its divisors is an integer number (4999050).

Almost surely, 2144033032 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 144033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159969600).

144033032 is an abundant number, since it is smaller than the sum of its proper divisors (175906168).

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

144033032 is a wasteful number, since it uses less digits than its factorization.

144033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 144033032 is about 12001.3762544135. The cubic root of 144033032 is about 524.1883537081.

Adding to 144033032 its reverse (230330441), we get a palindrome (374363473).

The spelling of 144033032 in words is "one hundred forty-four million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 137 143 274 286 548 572 919 1096 1144 1507 1781 1838 3014 3562 3676 6028 7124 7352 10109 11947 12056 14248 19591 20218 23894 39182 40436 47788 78364 80872 95576 125903 131417 156728 251806 262834 503612 525668 1007224 1051336 1384933 1636739 2769866 3273478 5539732 6546956 11079464 13093912 18004129 36008258 72016516 144033032