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144143234244 = 2232632772
BaseRepresentation
bin1000011000111110011…
…0110011010011000100
3111210001120220222122100
42012033212303103010
54330201131443434
6150115105432100
713262001163302
oct2061746632304
9453046828570
10144143234244
1156149109379
1223b2933b630
1310792083ba9
146d959c9272
153b3983b699
hex218f9b34c4

144143234244 has 27 divisors (see below), whose sum is σ = 364367822637. Its totient is φ = 48046985424.

The previous prime is 144143234233. The next prime is 144143234267. The reversal of 144143234244 is 442432341441.

The square root of 144143234244 is 379662.

It is a perfect power (a square), and thus also a powerful number.

144143234244 is a `hidden beast` number, since 1 + 4 + 414 + 3 + 234 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2400020100 + 141743214144 = 48990^2 + 376488^2 .

It is a super-4 number, since 4×1441432342444 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144143234199 and 144143234208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2246334 + ... + 2309610.

Almost surely, 2144143234244 is an apocalyptic number.

144143234244 is the 379662-nd square number.

It is an amenable number.

144143234244 is an abundant number, since it is smaller than the sum of its proper divisors (220224588393).

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

144143234244 is an frugal number, since it uses more digits than its factorization.

144143234244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126564 (or 63282 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Multiplying 144143234244 by its sum of digits (36), we get a square (5189156432784 = 22779722).

144143234244 divided by its sum of digits (36) gives a square (4003978729 = 632772).

Adding to 144143234244 its reverse (442432341441), we get a palindrome (586575575685).

The spelling of 144143234244 in words is "one hundred forty-four billion, one hundred forty-three million, two hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 63277 126554 189831 253108 379662 569493 759324 1138986 2277972 4003978729 8007957458 12011936187 16015914916 24023872374 36035808561 48047744748 72071617122 144143234244