Search a number
-
+
4000121007 = 34183391823
BaseRepresentation
bin1110111001101101…
…0000000010101111
3101022202221012102220
43232123100002233
531143012333012
61500532250423
7201061316241
oct35633200257
911282835386
104000121007
111772a67133
12937770a13
134b996480c
1429d386091
1518629b08c
hexee6d00af

4000121007 has 16 divisors (see below), whose sum is σ = 5529420288. Its totient is φ = 2570352320.

The previous prime is 4000120903. The next prime is 4000121009. The reversal of 4000121007 is 7001210004.

It is not a de Polignac number, because 4000121007 - 27 = 4000120879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185703 + ... + 206120.

It is an arithmetic number, because the mean of its divisors is an integer number (345588768).

Almost surely, 24000121007 is an apocalyptic number.

4000121007 is a deficient number, since it is larger than the sum of its proper divisors (1529299281).

4000121007 is a wasteful number, since it uses less digits than its factorization.

4000121007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391950.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 4000121007 is about 63246.5098404647. The cubic root of 4000121007 is about 1587.4170590267.

The spelling of 4000121007 in words is "four billion, one hundred twenty-one thousand, seven".

Divisors: 1 3 41 83 123 249 3403 10209 391823 1175469 16064743 32521309 48194229 97563927 1333373669 4000121007