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40042200220224 = 263732856892139
BaseRepresentation
bin10010001101011000011010…
…00111101100001001000000
312020202222220210002022112220
421012230031013230021000
520222022411224021344
6221055044405251040
711301645023021526
oct1106541507541100
9166688823068486
1040042200220224
1111838890143134
1245a8543a03a80
131945c6a427987
149c60a4d80316
154968c9965c19
hex246b0d1ec240

40042200220224 has 56 divisors (see below), whose sum is σ = 107396289326880. Its totient is φ = 13164558971904.

The previous prime is 40042200220207. The next prime is 40042200220237. The reversal of 40042200220224 is 42202200224004.

It is a super-2 number, since 2×400422002202242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40042200220194 and 40042200220203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428432054 + ... + 1428460085.

Almost surely, 240042200220224 is an apocalyptic number.

It is an amenable number.

40042200220224 is an abundant number, since it is smaller than the sum of its proper divisors (67354089106656).

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

40042200220224 is a wasteful number, since it uses less digits than its factorization.

40042200220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856892227 (or 2856892217 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40042200220224 its reverse (42202200224004), we get a palindrome (82244400444228).

The spelling of 40042200220224 in words is "forty trillion, forty-two billion, two hundred million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 14016 2856892139 5713784278 8570676417 11427568556 17141352834 22855137112 34282705668 45710274224 68565411336 91420548448 137130822672 182841096896 208553126147 274261645344 417106252294 548523290688 625659378441 834212504588 1251318756882 1668425009176 2502637513764 3336850018352 5005275027528 6673700036704 10010550055056 13347400073408 20021100110112 40042200220224