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4114042022420 = 22511134353139187
BaseRepresentation
bin111011110111100000000…
…000110110101000010100
3112120022001122212200200022
4323313200000312220110
51014401024224204140
612425544222204312
7603141540130361
oct73674000665024
915508048780608
104114042022420
111346834517a80
125653b4423698
1323ac4c83b285
14103199295468
1572037d790b5
hex3bde0036a14

4114042022420 has 48 divisors (see below), whose sum is σ = 9425034134208. Its totient is φ = 1495993397760.

The previous prime is 4114042022383. The next prime is 4114042022429. The reversal of 4114042022420 is 242202404114.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4114042022420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114042022429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29488067 + ... + 29627253.

It is an arithmetic number, because the mean of its divisors is an integer number (196354877796).

Almost surely, 24114042022420 is an apocalyptic number.

It is an amenable number.

4114042022420 is an abundant number, since it is smaller than the sum of its proper divisors (5310992111788).

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

4114042022420 is a wasteful number, since it uses less digits than its factorization.

4114042022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273560 (or 273558 counting only the distinct ones).

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

Adding to 4114042022420 its reverse (242202404114), we get a palindrome (4356244426534).

The spelling of 4114042022420 in words is "four trillion, one hundred fourteen billion, forty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 134353 139187 268706 278374 537412 556748 671765 695935 1343530 1391870 1477883 1531057 2687060 2783740 2955766 3062114 5911532 6124228 7389415 7655285 14778830 15310570 29557660 30621140 18700191011 37400382022 74800764044 93500955055 187001910110 205702101121 374003820220 411404202242 822808404484 1028510505605 2057021011210 4114042022420