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4301141004 = 22323112730347
BaseRepresentation
bin1000000000101111…
…00011010000001100
3102002202100121020200
410000113203100030
532302043003004
61550444213500
7211405044456
oct40027432014
912082317220
104301141004
111907977996
12a0053a290
1353712b964
142cb3432d6
151a290c239
hex1005e340c

4301141004 has 72 divisors (see below), whose sum is σ = 11311792128. Its totient is φ = 1376494560.

The previous prime is 4301140997. The next prime is 4301141081. The reversal of 4301141004 is 4001411034.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126559 + ... + 156905.

It is an arithmetic number, because the mean of its divisors is an integer number (157108224).

Almost surely, 24301141004 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 4301141004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655896064).

4301141004 is an abundant number, since it is smaller than the sum of its proper divisors (7010651124).

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

4301141004 is a wasteful number, since it uses less digits than its factorization.

4301141004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30515 (or 30510 counting only the distinct ones).

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

The square root of 4301141004 is about 65583.0847398931. The cubic root of 4301141004 is about 1626.2771503263.

Adding to 4301141004 its reverse (4001411034), we get a palindrome (8302552038).

The spelling of 4301141004 in words is "four billion, three hundred one million, one hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 127 186 254 279 372 381 508 558 762 1116 1143 1524 2286 3937 4572 7874 11811 15748 23622 30347 35433 47244 60694 70866 91041 121388 141732 182082 273123 364164 546246 940757 1092492 1881514 2822271 3763028 3854069 5644542 7708138 8466813 11289084 11562207 15416276 16933626 23124414 33867252 34686621 46248828 69373242 119476139 138746484 238952278 358428417 477904556 716856834 1075285251 1433713668 2150570502 4301141004