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144220221240 = 2335191793131129
BaseRepresentation
bin1000011001010000110…
…0011110111100111000
3111210020221210022221120
42012110030132330320
54330330334034430
6150130455505240
713263624440214
oct2062414367470
9453227708846
10144220221240
1156188611897
1223b4b088220
13107a4ccaa24
146da1d09944
153b41497610
hex219431ef38

144220221240 has 256 divisors, whose sum is σ = 459846720000. Its totient is φ = 36083294208.

The previous prime is 144220221239. The next prime is 144220221307. The reversal of 144220221240 is 42122022441.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144220221240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127740996 + ... + 127742124.

It is an arithmetic number, because the mean of its divisors is an integer number (1796276250).

Almost surely, 2144220221240 is an apocalyptic number.

144220221240 is a gapful number since it is divisible by the number (10) 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 144220221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229923360000).

144220221240 is an abundant number, since it is smaller than the sum of its proper divisors (315626498760).

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

144220221240 is a wasteful number, since it uses less digits than its factorization.

144220221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144220221240 its reverse (42122022441), we get a palindrome (186342243681).

The spelling of 144220221240 in words is "one hundred forty-four billion, two hundred twenty million, two hundred twenty-one thousand, two hundred forty".