Search a number
-
+
144407996748 = 22331778653593
BaseRepresentation
bin1000011001111101100…
…0110010100101001100
3111210202001010022112000
42012133120302211030
54331221421343443
6150201244312300
713301364501531
oct2063730624514
9453661108460
10144407996748
1156274605364
1223ba1b42690
1310804b94ab2
146dbcc28d88
153b52bd98d3
hex219f63294c

144407996748 has 48 divisors (see below), whose sum is σ = 396414113760. Its totient is φ = 45304468992.

The previous prime is 144407996723. The next prime is 144407996773. The reversal of 144407996748 is 847699704441.

144407996748 is a `hidden beast` number, since 1 + 4 + 440 + 7 + 99 + 67 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (144407996723) and next prime (144407996773).

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, 39324961 + ... + 39328632.

It is an arithmetic number, because the mean of its divisors is an integer number (8258627370).

Almost surely, 2144407996748 is an apocalyptic number.

144407996748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144407996748 is an abundant number, since it is smaller than the sum of its proper divisors (252006117012).

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

144407996748 is a wasteful number, since it uses less digits than its factorization.

144407996748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78653623 (or 78653615 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 144407996748 in words is "one hundred forty-four billion, four hundred seven million, nine hundred ninety-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 78653593 157307186 235960779 314614372 471921558 707882337 943843116 1337111081 1415764674 2123647011 2674222162 2831529348 4011333243 4247294022 5348444324 8022666486 8494588044 12033999729 16045332972 24067999458 36101999187 48135998916 72203998374 144407996748