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20344503420144 = 2433372231265179
BaseRepresentation
bin1001010000000110100101…
…11001100100010011110000
32200000220201102102111222000
410220003102321210103300
510131311020333421034
6111134045202014000
74166561521541661
oct450032271442360
980026642374860
1020344503420144
116534067889602
122346a99047300
13b4762b198337
14504971ac7368
15254319593599
hex1280d2e644f0

20344503420144 has 80 divisors (see below), whose sum is σ = 58397874796800. Its totient is φ = 6781313594304.

The previous prime is 20344503420139. The next prime is 20344503420161. The reversal of 20344503420144 is 44102430544302.

20344503420144 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 503 + 4 + 2 + 0 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20344503420099 and 20344503420108.

It is a congruent number.

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, 15447747 + ... + 16712925.

It is an arithmetic number, because the mean of its divisors is an integer number (729973434960).

Almost surely, 220344503420144 is an apocalyptic number.

20344503420144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20344503420144 is an abundant number, since it is smaller than the sum of its proper divisors (38053371376656).

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

20344503420144 is a wasteful number, since it uses less digits than its factorization.

20344503420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302419 (or 1302407 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 20344503420144 its reverse (44102430544302), we get a palindrome (64446933964446).

The spelling of 20344503420144 in words is "twenty trillion, three hundred forty-four billion, five hundred three million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 37223 74446 111669 148892 223338 297784 335007 446676 595568 670014 893352 1005021 1265179 1340028 1786704 2010042 2530358 2680056 3795537 4020084 5060716 5360112 7591074 8040168 10121432 11386611 15182148 16080336 20242864 22773222 30364296 34159833 45546444 60728592 68319666 91092888 136639332 182185776 273278664 546557328 47093757917 94187515834 141281273751 188375031668 282562547502 376750063336 423843821253 565125095004 753500126672 847687642506 1130250190008 1271531463759 1695375285012 2260500380016 2543062927518 3390750570024 5086125855036 6781501140048 10172251710072 20344503420144