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40102422420104 = 23111721576848947
BaseRepresentation
bin10010001111001000100101…
…01001001001101010001000
312020222202100202210001020022
421013210102221021222020
520224014230114420404
6221142444252120012
711306206261204352
oct1107442251115210
9166882322701208
1040102422420104
1111861383a96260
1245b8150166008
13194b846c12985
149c8d791540d2
1549825195a8be
hex247912a49a88

40102422420104 has 48 divisors (see below), whose sum is σ = 87136672866480. Its totient is φ = 17156116532480.

The previous prime is 40102422420083. The next prime is 40102422420107.

It is a happy number.

40102422420104 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40102422420107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 788399042 + ... + 788449905.

It is an arithmetic number, because the mean of its divisors is an integer number (1815347351385).

Almost surely, 240102422420104 is an apocalyptic number.

40102422420104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40102422420104 is an abundant number, since it is smaller than the sum of its proper divisors (47034250446376).

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

40102422420104 is a wasteful number, since it uses less digits than its factorization.

40102422420104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576848998 (or 1576848977 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 4010242 and 2420104, that added together give a palindrome (6430346).

The spelling of 40102422420104 in words is "forty trillion, one hundred two billion, four hundred twenty-two million, four hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 6358 12716 25432 1576848947 3153697894 6307395788 12614791576 17345338417 26806432099 34690676834 53612864198 69381353668 107225728396 138762707336 214451456792 294870753089 455709345683 589741506178 911418691366 1179483012356 1822837382732 2358966024712 3645674765464 5012802802513 10025605605026 20051211210052 40102422420104