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40028942706282 = 2333741651481009
BaseRepresentation
bin10010001100111111101101…
…11010010010011001101010
312020201201200211201211101000
421012133312322102121222
520221313233313100112
6221045013054535430
711300665342015425
oct1106376672223152
9166651624654330
1040028942706282
11118331a7672742
1245a5a63b07576
1319449368b247a
149c55a83409bc
154963a0ae87dc
hex2467f6e9266a

40028942706282 has 64 divisors (see below), whose sum is σ = 91359730051200. Its totient is φ = 12982021113600.

The previous prime is 40028942706257. The next prime is 40028942706287. The reversal of 40028942706282 is 28260724982004.

40028942706282 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 8 + 9 + 4 + 2 + 7 + 0 + 628 + 2 = 666.

It is a super-2 number, since 2×400289427062822 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40028942706287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82978194 + ... + 83459202.

It is an arithmetic number, because the mean of its divisors is an integer number (1427495782050).

Almost surely, 240028942706282 is an apocalyptic number.

40028942706282 is an abundant number, since it is smaller than the sum of its proper divisors (51330787344918).

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

40028942706282 is a wasteful number, since it uses less digits than its factorization.

40028942706282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522708 (or 522702 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40028942706282 in words is "forty trillion, twenty-eight billion, nine hundred forty-two million, seven hundred six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 41651 83302 124953 249906 374859 481009 749718 962018 1124577 1443027 1541087 2249154 2886054 3082174 4329081 4623261 8658162 9246522 12987243 13869783 17797333 25974486 27739566 35594666 41609349 53391999 83218698 106783998 160175997 320351994 480527991 961055982 20034505859 40069011718 60103517577 120207035154 180310552731 360621105462 540931658193 741276716783 1081863316386 1482553433566 2223830150349 4447660300698 6671490451047 13342980902094 20014471353141 40028942706282