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4120330004 = 227437943319
BaseRepresentation
bin1111010110010111…
…0011111100010100
3101122011010110011222
43311211303330110
531414301030004
61520504545512
7204051140630
oct36545637424
911564113158
104120330004
111824900a0a
1296ba82298
135088328bb
142b1317dc0
15191ae37be
hexf5973f14

4120330004 has 48 divisors (see below), whose sum is σ = 8539238400. Its totient is φ = 1702917216.

The previous prime is 4120329979. The next prime is 4120330043. The reversal of 4120330004 is 4000330214.

It is a congruent number.

It is an unprimeable number.

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, 73457 + ... + 116775.

It is an arithmetic number, because the mean of its divisors is an integer number (177900800).

Almost surely, 24120330004 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 4120330004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269619200).

4120330004 is an abundant number, since it is smaller than the sum of its proper divisors (4418908396).

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

4120330004 is a wasteful number, since it uses less digits than its factorization.

4120330004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43452 (or 43450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4120330004 is about 64189.7967281405. The cubic root of 4120330004 is about 1603.1617173700.

Adding to 4120330004 its reverse (4000330214), we get a palindrome (8120660218).

The spelling of 4120330004 in words is "four billion, one hundred twenty million, three hundred thirty thousand, four".

Divisors: 1 2 4 7 14 28 43 79 86 158 172 301 316 553 602 1106 1204 2212 3397 6794 13588 23779 43319 47558 86638 95116 173276 303233 606466 1212932 1862717 3422201 3725434 6844402 7450868 13039019 13688804 23955407 26078038 47910814 52156076 95821628 147154643 294309286 588618572 1030082501 2060165002 4120330004