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40032030442122 = 23219377039449437
BaseRepresentation
bin10010001101000101011101…
…11101000100001010001010
312020202000200000212001122200
421012202232331010022022
520221341044243121442
6221050243315501030
711301135014233635
oct1106425675041212
9166660600761580
1040032030442122
1111834541608344
1245a6585bb7776
1319450095051b4
149c57bc464c1c
154964d1c1d34c
hex2468aef4428a

40032030442122 has 96 divisors (see below), whose sum is σ = 93782249932800. Its totient is φ = 12298251648384.

The previous prime is 40032030442073. The next prime is 40032030442139. The reversal of 40032030442122 is 22124403023004.

40032030442122 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 203 + 0 + 442 + 12 + 2 = 666.

It is a super-2 number, since 2×400320304421222 (a number of 28 digits) contains 22 as substring.

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, 88846788 + ... + 89296224.

It is an arithmetic number, because the mean of its divisors is an integer number (976898436800).

Almost surely, 240032030442122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40032030442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46891124966400).

40032030442122 is an abundant number, since it is smaller than the sum of its proper divisors (53750219490678).

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

40032030442122 is a wasteful number, since it uses less digits than its factorization.

40032030442122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456540 (or 456537 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40032030442122 its reverse (22124403023004), we get a palindrome (62156433465126).

The spelling of 40032030442122 in words is "forty trillion, thirty-two billion, thirty million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 7039 12654 14078 21117 42234 63351 126702 133741 260443 267482 401223 449437 520886 781329 802446 898874 1203669 1348311 1562658 2343987 2407338 2696622 4044933 4687974 4948417 8089866 8539303 9896834 14845251 16629169 17078606 25617909 29690502 33258338 44535753 49887507 51235818 76853727 89071506 99775014 149662521 153707454 299325042 315954211 631908422 947862633 1895725266 2843587899 3163587043 5687175798 6327174086 9490761129 18981522258 28472283387 56944566774 60108153817 117052720591 120216307634 180324461451 234105441182 351158161773 360648922902 540973384353 702316323546 1053474485319 1081946768706 2106948970638 2224001691229 4448003382458 6672005073687 13344010147374 20016015221061 40032030442122