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4000314402 = 232733195917
BaseRepresentation
bin1110111001101111…
…1111010000100010
3101022210022000201200
43232123333100202
531143040030102
61500540342030
7201063053130
oct35633772042
911283260650
104000314402
111773089467
12937844916
134b9a01856
1429d3d6750
151862d851c
hexee6ff422

4000314402 has 48 divisors (see below), whose sum is σ = 9935570112. Its totient is φ = 1139482080.

The previous prime is 4000314391. The next prime is 4000314407. The reversal of 4000314402 is 2044130004.

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

It is not an unprimeable number, because it can be changed into a prime (4000314407) 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 23 ways as a sum of consecutive naturals, for example, 6253 + ... + 89664.

It is an arithmetic number, because the mean of its divisors is an integer number (206991044).

Almost surely, 24000314402 is an apocalyptic number.

4000314402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4000314402 is an abundant number, since it is smaller than the sum of its proper divisors (5935255710).

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

4000314402 is a wasteful number, since it uses less digits than its factorization.

4000314402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96263 (or 96260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000314402 is about 63248.0387205801. The cubic root of 4000314402 is about 1587.4426410507.

Adding to 4000314402 its reverse (2044130004), we get a palindrome (6044444406).

The spelling of 4000314402 in words is "four billion, three hundred fourteen thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 331 662 993 1986 2317 2979 4634 5958 6951 13902 20853 41706 95917 191834 287751 575502 671419 863253 1342838 1726506 2014257 4028514 6042771 12085542 31748527 63497054 95245581 190491162 222239689 285736743 444479378 571473486 666719067 1333438134 2000157201 4000314402