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144020042232 = 233114691116293
BaseRepresentation
bin1000011000100001000…
…0110111000111111000
3111202202000010011222020
42012020100313013320
54324423112322412
6150054545154440
713255644106023
oct2061020670770
9452660104866
10144020042232
11560956173a0
1223ab402ba20
13107726b0101
146d834bc1ba
153b2db0518c
hex21884371f8

144020042232 has 64 divisors (see below), whose sum is σ = 392869042560. Its totient is φ = 43632758400.

The previous prime is 144020042209. The next prime is 144020042233. The reversal of 144020042232 is 232240020441.

144020042232 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144020042233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180278 + ... + 1296570.

It is an arithmetic number, because the mean of its divisors is an integer number (6138578790).

Almost surely, 2144020042232 is an apocalyptic number.

144020042232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144020042232 is an abundant number, since it is smaller than the sum of its proper divisors (248849000328).

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

144020042232 is a wasteful number, since it uses less digits than its factorization.

144020042232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121004 (or 121000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144020042232 its reverse (232240020441), we get a palindrome (376260062673).

The spelling of 144020042232 in words is "one hundred forty-four billion, twenty million, forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4691 9382 14073 18764 28146 37528 51601 56292 103202 112584 116293 154803 206404 232586 309606 348879 412808 465172 619212 697758 930344 1238424 1279223 1395516 2558446 2791032 3837669 5116892 7675338 10233784 15350676 30701352 545530463 1091060926 1636591389 2182121852 3273182778 4364243704 6000835093 6546365556 12001670186 13092731112 18002505279 24003340372 36005010558 48006680744 72010021116 144020042232