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40041014004 = 22321736429193
BaseRepresentation
bin100101010010101000…
…010110001011110100
310211100112020021010200
4211102220112023310
51124000444422004
630221121520500
72615153001105
oct452250261364
9124315207120
1040041014004
1115a88121512
1279157a3130
133a117127c4
141d1bc063ac
1510953d9239
hex952a162f4

40041014004 has 36 divisors (see below), whose sum is σ = 101799857796. Its totient is φ = 13269852288.

The previous prime is 40041013997. The next prime is 40041014051.

40041014004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 36537557904 + 3503456100 = 191148^2 + 59190^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×400410140042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3208369 + ... + 3220824.

Almost surely, 240041014004 is an apocalyptic number.

It is an amenable number.

40041014004 is an abundant number, since it is smaller than the sum of its proper divisors (61758843792).

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

40041014004 is a wasteful number, since it uses less digits than its factorization.

40041014004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429376 (or 6429371 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 400410 and 14004, that added together give a palindrome (414414).

The spelling of 40041014004 in words is "forty billion, forty-one million, fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 6429193 12858386 19287579 25716772 38575158 57862737 77150316 115725474 231450948 1112250389 2224500778 3336751167 4449001556 6673502334 10010253501 13347004668 20020507002 40041014004