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144401211104 = 2531733198589
BaseRepresentation
bin1000011001111011111…
…0111001111011100000
3111210201120100120100212
42012132332321323200
54331213202223404
6150200443033252
713301253020363
oct2063676717340
9453646316325
10144401211104
11562707a0197
1223b9b80b828
131080365a317
146dbbd800da
153b522e906e
hex219efb9ee0

144401211104 has 48 divisors (see below), whose sum is σ = 293862360960. Its totient is φ = 69775879680.

The previous prime is 144401211083. The next prime is 144401211107. The reversal of 144401211104 is 401112104441.

It is a self number, because there is not a number n which added to its sum of digits gives 144401211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144401211107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627842 + ... + 826430.

It is an arithmetic number, because the mean of its divisors is an integer number (6122132520).

Almost surely, 2144401211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144401211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146931180480).

144401211104 is an abundant number, since it is smaller than the sum of its proper divisors (149461149856).

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

144401211104 is a wasteful number, since it uses less digits than its factorization.

144401211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199363 (or 199355 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 144401211104 its reverse (401112104441), we get a palindrome (545513315545).

The spelling of 144401211104 in words is "one hundred forty-four billion, four hundred one million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 733 992 1466 2932 5864 11728 22723 23456 45446 90892 181784 198589 363568 397178 727136 794356 1588712 3177424 6156259 6354848 12312518 24625036 49250072 98500144 145565737 197000288 291131474 582262948 1164525896 2329051792 4512537847 4658103584 9025075694 18050151388 36100302776 72200605552 144401211104