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144020525532 = 2231337132718803
BaseRepresentation
bin1000011000100001001…
…0101101000111011100
3111202202001000201221020
42012020102231013130
54324423223304112
6150055003404140
713255651161042
oct2061022550734
9452661021836
10144020525532
1156095917514
1223ab4223650
131077281c0a0
146d835a6392
153b2db9d48c
hex21884ad1dc

144020525532 has 96 divisors (see below), whose sum is σ = 371978621952. Its totient is φ = 43081549056.

The previous prime is 144020525507. The next prime is 144020525549. The reversal of 144020525532 is 235525020441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144020525493 and 144020525502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7650043 + ... + 7668845.

It is an arithmetic number, because the mean of its divisors is an integer number (3874777312).

Almost surely, 2144020525532 is an apocalyptic number.

144020525532 is a gapful number since it is divisible by the number (12) 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 144020525532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185989310976).

144020525532 is an abundant number, since it is smaller than the sum of its proper divisors (227958096420).

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

144020525532 is a wasteful number, since it uses less digits than its factorization.

144020525532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20187 (or 20185 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 144020525532 its reverse (235525020441), we get a palindrome (379545545973).

The spelling of 144020525532 in words is "one hundred forty-four billion, twenty million, five hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1327 1443 1924 2654 2886 3981 5308 5772 7962 15924 17251 18803 34502 37606 49099 51753 56409 69004 75212 98198 103506 112818 147297 196396 207012 225636 244439 294594 488878 589188 638287 695711 733317 977756 1276574 1391422 1466634 1914861 2087133 2553148 2782844 2933268 3829722 4174266 7659444 8348532 9044243 18088486 24951581 27132729 36176972 49903162 54265458 74854743 99806324 108530916 149709486 299418972 324370553 648741106 923208497 973111659 1297482212 1846416994 1946223318 2769625491 3692833988 3892446636 5539250982 11078501964 12001710461 24003420922 36005131383 48006841844 72010262766 144020525532