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144100414300 = 22527120295833
BaseRepresentation
bin1000011000110100001…
…1011101001101011100
3111202221121100111201111
42012031003131031130
54330104201224200
6150110535551404
713260641211643
oct2061503351534
9452847314644
10144100414300
1156126a22097
1223b16b2b564
131078624094b
146d9004035a
153b35bce0ba
hex218d0dd35c

144100414300 has 36 divisors (see below), whose sum is σ = 317102110416. Its totient is φ = 56828329600.

The previous prime is 144100414261. The next prime is 144100414307. The reversal of 144100414300 is 3414001441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144100414307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10140817 + ... + 10155016.

It is an arithmetic number, because the mean of its divisors is an integer number (8808391956).

Almost surely, 2144100414300 is an apocalyptic number.

144100414300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100414300 is an abundant number, since it is smaller than the sum of its proper divisors (173001696116).

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

144100414300 is a wasteful number, since it uses less digits than its factorization.

144100414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20295918 (or 20295911 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 144100414300 its reverse (3414001441), we get a palindrome (147514415741).

The spelling of 144100414300 in words is "one hundred forty-four billion, one hundred million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 20295833 40591666 81183332 101479165 202958330 405916660 507395825 1014791650 1441004143 2029583300 2882008286 5764016572 7205020715 14410041430 28820082860 36025103575 72050207150 144100414300