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40210224012 = 22337510110427
BaseRepresentation
bin100101011100101101…
…110101001110001100
310211210022122000122000
4211130231311032030
51124322304132022
630250004352300
72622306156540
oct453455651614
9124708560560
1040210224012
11160646944a2
1279623a5690
133a3a7a937a
141d36491a20
1510a51b06ac
hex95cb7538c

40210224012 has 96 divisors (see below), whose sum is σ = 119176189440. Its totient is φ = 11485281600.

The previous prime is 40210223987. The next prime is 40210224023. The reversal of 40210224012 is 21042201204.

40210224012 is a `hidden beast` number, since 402 + 10 + 2 + 240 + 12 = 666.

It is a super-2 number, since 2×402102240122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3851143 + ... + 3861569.

It is an arithmetic number, because the mean of its divisors is an integer number (1241418640).

Almost surely, 240210224012 is an apocalyptic number.

40210224012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40210224012 is an abundant number, since it is smaller than the sum of its proper divisors (78965965428).

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

40210224012 is a wasteful number, since it uses less digits than its factorization.

40210224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15548 (or 15540 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40210224012 its reverse (21042201204), we get a palindrome (61252425216).

The spelling of 40210224012 in words is "forty billion, two hundred ten million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 5101 10202 10427 15303 20404 20854 30606 31281 35707 41708 45909 61212 62562 71414 72989 91818 93843 107121 125124 137727 142828 145978 183636 187686 214242 218967 275454 281529 291956 321363 375372 428484 437934 550908 563058 642726 656901 875868 964089 1126116 1285452 1313802 1928178 1970703 2627604 3856356 3941406 7882812 53188127 106376254 159564381 212752508 319128762 372316889 478693143 638257524 744633778 957386286 1116950667 1436079429 1489267556 1914772572 2233901334 2872158858 3350852001 4467802668 5744317716 6701704002 10052556003 13403408004 20105112006 40210224012