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144442303402212 = 22327735190538429
BaseRepresentation
bin100000110101111010011000…
…001011110101000011100100
3200221102112211110211002211200
4200311322120023311003210
5122413020314132332322
61231111513402002500
742265416634135314
oct4065723013650344
9627375743732750
10144442303402212
1142029700738442
1214249a771a6430
136279b0a1935ba
14279508ac73444
1511a7420bbb8ac
hex835e982f50e4

144442303402212 has 36 divisors (see below), whose sum is σ = 365590383778620. Its totient is φ = 48085147996992.

The previous prime is 144442303402171. The next prime is 144442303402231. The reversal of 144442303402212 is 212204303244441.

144442303402212 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 2 + 30 + 3 + 402 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2991813658596 + 141450489743616 = 1729686^2 + 11893296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2595241387 + ... + 2595297042.

It is an arithmetic number, because the mean of its divisors is an integer number (10155288438295).

Almost surely, 2144442303402212 is an apocalyptic number.

144442303402212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144442303402212 is an abundant number, since it is smaller than the sum of its proper divisors (221148080376408).

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

144442303402212 is a wasteful number, since it uses less digits than its factorization.

144442303402212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190539212 (or 5190539207 counting only the distinct ones).

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

Adding to 144442303402212 its reverse (212204303244441), we get a palindrome (356646606646653).

The spelling of 144442303402212 in words is "one hundred forty-four trillion, four hundred forty-two billion, three hundred three million, four hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 773 1546 2319 3092 4638 6957 9276 13914 27828 5190538429 10381076858 15571615287 20762153716 31143230574 46714845861 62286461148 93429691722 186859383444 4012286205617 8024572411234 12036858616851 16049144822468 24073717233702 36110575850553 48147434467404 72221151701106 144442303402212