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40242204420 = 223511119351109
BaseRepresentation
bin100101011110100111…
…110100111100000100
310211212112210210111120
4211132213310330010
51124404001020140
630253110033540
72623145044065
oct453647647404
9124775723446
1040242204420
1116080747890
1279710488b0
133a442c58a2
141d3a81856c
1510a7dcb1d0
hex95e9f4f04

40242204420 has 96 divisors (see below), whose sum is σ = 123027085440. Its totient is φ = 9747317760.

The previous prime is 40242204413. The next prime is 40242204451. The reversal of 40242204420 is 2440224204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761826 + ... + 812934.

It is an arithmetic number, because the mean of its divisors is an integer number (1281532140).

Almost surely, 240242204420 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 40242204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61513542720).

40242204420 is an abundant number, since it is smaller than the sum of its proper divisors (82784881020).

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

40242204420 is a wasteful number, since it uses less digits than its factorization.

40242204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52325 (or 52323 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40242204420 its reverse (2440224204), we get a palindrome (42682428624).

The spelling of 40242204420 in words is "forty billion, two hundred forty-two million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1193 2386 3579 4772 5965 7158 11930 13123 14316 17895 23860 26246 35790 39369 51109 52492 65615 71580 78738 102218 131230 153327 157476 196845 204436 255545 262460 306654 393690 511090 562199 613308 766635 787380 1022180 1124398 1533270 1686597 2248796 2810995 3066540 3373194 5621990 6746388 8432985 11243980 16865970 33731940 60973037 121946074 182919111 243892148 304865185 365838222 609730370 670703407 731676444 914595555 1219460740 1341406814 1829191110 2012110221 2682813628 3353517035 3658382220 4024220442 6707034070 8048440884 10060551105 13414068140 20121102210 40242204420