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4000145214 = 231353218257
BaseRepresentation
bin1110111001101101…
…0101111100111110
3101022202222102122110
43232123111330332
531143014121324
61500532554450
7201061446642
oct35633257476
911282872573
104000145214
111772a8333a
12937782a26
134b9972840
1429d390c22
151862a3329
hexee6d5f3e

4000145214 has 48 divisors (see below), whose sum is σ = 8781805872. Its totient is φ = 1207524864.

The previous prime is 4000145209. The next prime is 4000145239. The reversal of 4000145214 is 4125410004.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209974 + ... + 228230.

It is an arithmetic number, because the mean of its divisors is an integer number (182954289).

Almost surely, 24000145214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000145214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390902936).

4000145214 is an abundant number, since it is smaller than the sum of its proper divisors (4781660658).

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

4000145214 is a wasteful number, since it uses less digits than its factorization.

4000145214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18381 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4000145214 is about 63246.7012104189. The cubic root of 4000145214 is about 1587.4202611404.

Adding to 4000145214 its reverse (4125410004), we get a palindrome (8125555218).

The spelling of 4000145214 in words is "four billion, one hundred forty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 2809 4134 5618 8427 16854 18257 36514 36517 54771 73034 109542 109551 219102 237341 474682 712023 967621 1424046 1935242 2902863 5805726 12579073 25158146 37737219 51283913 75474438 102567826 153851739 307703478 666690869 1333381738 2000072607 4000145214