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4120004023044 = 2237213953565567
BaseRepresentation
bin111011111101000011011…
…000000101001100000100
3112120212110011102201000020
4323331003120011030010
51020000232012214134
612432412000415140
7603442353242400
oct73750330051404
915525404381006
104120004023044
111349313954318
125665990174b0
1323b68ca90cb0
141035a3012100
15722864a7b49
hex3bf43605304

4120004023044 has 144 divisors (see below), whose sum is σ = 12055747027968. Its totient is φ = 1085452365312.

The previous prime is 4120004023043. The next prime is 4120004023081. The reversal of 4120004023044 is 4403204000214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4120004023043) 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 47 ways as a sum of consecutive naturals, for example, 7001949 + ... + 7567515.

It is an arithmetic number, because the mean of its divisors is an integer number (83720465472).

Almost surely, 24120004023044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120004023044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027873513984).

4120004023044 is an abundant number, since it is smaller than the sum of its proper divisors (7935743004924).

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

4120004023044 is a wasteful number, since it uses less digits than its factorization.

4120004023044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566554 (or 566545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4120004023044 its reverse (4403204000214), we get a palindrome (8523208023258).

The spelling of 4120004023044 in words is "four trillion, one hundred twenty billion, four million, twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 953 1092 1274 1906 1911 2548 2859 3812 3822 5718 6671 7644 11436 12389 13342 20013 24778 26684 37167 40026 46697 49556 74334 80052 86723 93394 140091 148668 173446 186788 260169 280182 346892 520338 560364 565567 607061 1040676 1131134 1214122 1696701 1821183 2262268 2428244 3393402 3642366 3958969 6786804 7284732 7352371 7917938 11876907 14704742 15835876 22057113 23753814 27712783 29409484 44114226 47507628 51466597 55425566 83138349 88228452 102933194 110851132 154399791 166276698 205866388 308799582 332553396 360266179 538985351 617599164 720532358 1077970702 1080798537 1441064716 1616956053 2155941404 2161597074 3233912106 3772897457 4323194148 6467824212 7006809563 7545794914 11318692371 14013619126 15091589828 21020428689 22637384742 26410282199 28027238252 42040857378 45274769484 49047666941 52820564398 79230846597 84081714756 98095333882 105641128796 147143000823 158461693194 196190667764 294286001646 316923386388 343333668587 588572003292 686667337174 1030001005761 1373334674348 2060002011522 4120004023044