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4034011104 = 2532101138683
BaseRepresentation
bin1111000001110010…
…0001111111100000
3101102010200222220200
43300130201333200
531230201323404
61504142505200
7201652346214
oct36034417740
911363628820
104034011104
111790104282
12946b95200
134c399c326
142a3a88944
15189242839
hexf0721fe0

4034011104 has 72 divisors (see below), whose sum is σ = 11585383992. Its totient is φ = 1331347200.

The previous prime is 4034011103. The next prime is 4034011127. The reversal of 4034011104 is 4011104304.

4034011104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034011103) 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, 40254 + ... + 98429.

It is an arithmetic number, because the mean of its divisors is an integer number (160908111).

Almost surely, 24034011104 is an apocalyptic number.

It is an amenable number.

4034011104 is an abundant number, since it is smaller than the sum of its proper divisors (7551372888).

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

4034011104 is a wasteful number, since it uses less digits than its factorization.

4034011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138800 (or 138789 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4034011104 is about 63513.8654468455. The cubic root of 4034011104 is about 1591.8874654257.

Adding to 4034011104 its reverse (4011104304), we get a palindrome (8045115408).

The spelling of 4034011104 in words is "four billion, thirty-four million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 138683 277366 416049 554732 832098 1109464 1248147 1664196 2218928 2496294 3328392 4437856 4992588 6656784 9985176 13313568 14006983 19970352 28013966 39940704 42020949 56027932 84041898 112055864 126062847 168083796 224111728 252125694 336167592 448223456 504251388 672335184 1008502776 1344670368 2017005552 4034011104