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40414020024222 = 232131392689462073
BaseRepresentation
bin10010011000001100111110…
…10011101011011110011110
312022002112122112122101221200
421030012133103223132132
520244120403111233342
6221541540002140330
711340550043142645
oct1114063723533636
9168075575571850
1040414020024222
1111971542792149
1246486116516a6
131972044706110
149da09868835c
154a13dc3a194c
hex24c19f4eb79e

40414020024222 has 96 divisors (see below), whose sum is σ = 95013319346400. Its totient is φ = 12341004189696.

The previous prime is 40414020024193. The next prime is 40414020024263. The reversal of 40414020024222 is 22242002041404.

40414020024222 is a `hidden beast` number, since 4 + 0 + 414 + 0 + 2 + 0 + 0 + 24 + 222 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87231378 + ... + 87693450.

It is an arithmetic number, because the mean of its divisors is an integer number (989722076525).

Almost surely, 240414020024222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414020024222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47506659673200).

40414020024222 is an abundant number, since it is smaller than the sum of its proper divisors (54599299322178).

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

40414020024222 is a wasteful number, since it uses less digits than its factorization.

40414020024222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464922 (or 464919 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 40414020024222 its reverse (22242002041404), we get a palindrome (62656022065626).

The spelling of 40414020024222 in words is "forty trillion, four hundred fourteen billion, twenty million, twenty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 834 1251 1807 2502 2689 3614 5378 5421 8067 10842 16134 16263 24201 32526 34957 48402 69914 104871 209742 314613 373771 462073 629226 747542 924146 1121313 1386219 2242626 2772438 3363939 4158657 4859023 6006949 6727878 8317314 9718046 12013898 14577069 18020847 29154138 36041694 43731207 54062541 64228147 87462414 108125082 128456294 192684441 385368882 578053323 834965911 1156106646 1242514297 1669931822 2485028594 2504897733 3727542891 5009795466 7455085782 7514693199 11182628673 15029386398 16152685861 22365257346 32305371722 48458057583 96916115166 145374172749 172709487283 290748345498 345418974566 518128461849 1036256923698 1554385385547 2245223334679 3108770771094 4490446669358 6735670004037 13471340008074 20207010012111 40414020024222