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40320212142204 = 22331697219997229
BaseRepresentation
bin10010010101011110001111…
…11011000000100001111100
312021202120111220120020201000
421022233013323000201330
520241101243302022304
6221430503313450300
711331016305251361
oct1112570773004174
9167676456506630
1040320212142204
1111935784676a25
1246323b1570990
131966244a19c17
149d5719b66468
1549dc4ba9d939
hex24abc7ec087c

40320212142204 has 48 divisors (see below), whose sum is σ = 104595483031200. Its totient is φ = 13432150752768.

The previous prime is 40320212142193. The next prime is 40320212142209. The reversal of 40320212142204 is 40224121202304.

It is a happy number.

40320212142204 is a `hidden beast` number, since 4 + 0 + 3 + 20 + 212 + 1 + 422 + 0 + 4 = 666.

40320212142204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320212142209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109815339 + ... + 110181890.

It is an arithmetic number, because the mean of its divisors is an integer number (2179072563150).

Almost surely, 240320212142204 is an apocalyptic number.

It is an amenable number.

40320212142204 is an abundant number, since it is smaller than the sum of its proper divisors (64275270888996).

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

40320212142204 is a wasteful number, since it uses less digits than its factorization.

40320212142204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219998939 (or 219998931 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40320212142204 its reverse (40224121202304), we get a palindrome (80544333344508).

The spelling of 40320212142204 in words is "forty trillion, three hundred twenty billion, two hundred twelve million, one hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1697 3394 5091 6788 10182 15273 20364 30546 45819 61092 91638 183276 219997229 439994458 659991687 879988916 1319983374 1979975061 2639966748 3959950122 5939925183 7919900244 11879850366 23759700732 373335297613 746670595226 1120005892839 1493341190452 2240011785678 3360017678517 4480023571356 6720035357034 10080053035551 13440070714068 20160106071102 40320212142204