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4001420034 = 233563131617
BaseRepresentation
bin1110111010000000…
…1101001100000010
3101022212101012101000
43232200031030002
531143330420114
61501020152430
7201105336423
oct35640151402
911285335330
104001420034
111773774107
12938098716
134b9ccab81
1429d60364a
15186455e09
hexee80d302

4001420034 has 32 divisors (see below), whose sum is σ = 8907906240. Its totient is φ = 1331427456.

The previous prime is 4001420011. The next prime is 4001420057. The reversal of 4001420034 is 4300241004.

It is an interprime number because it is at equal distance from previous prime (4001420011) and next prime (4001420057).

It is a super-2 number, since 2×40014200342 = 32022724576993122312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4001419989 and 4001420016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35407 + ... + 96210.

It is an arithmetic number, because the mean of its divisors is an integer number (278372070).

Almost surely, 24001420034 is an apocalyptic number.

4001420034 is an abundant number, since it is smaller than the sum of its proper divisors (4906486206).

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

4001420034 is a wasteful number, since it uses less digits than its factorization.

4001420034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132191 (or 132185 counting only the distinct ones).

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

The square root of 4001420034 is about 63256.7785616688. The cubic root of 4001420034 is about 1587.5888766989.

Adding to 4001420034 its reverse (4300241004), we get a palindrome (8301661038).

The spelling of 4001420034 in words is "four billion, one million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 563 1126 1689 3378 5067 10134 15201 30402 131617 263234 394851 789702 1184553 2369106 3553659 7107318 74100371 148200742 222301113 444602226 666903339 1333806678 2000710017 4001420034