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4000142352 = 243195382757
BaseRepresentation
bin1110111001101101…
…0101010000010000
3101022202222021201110
43232123111100100
531143014023402
61500532533320
7201061435413
oct35633252020
911282867643
104000142352
111772a81178
12937781240
134b997144b
1429d38db7a
151862a256c
hexee6d5410

4000142352 has 80 divisors (see below), whose sum is σ = 11082951360. Its totient is φ = 1239353856.

The previous prime is 4000142329. The next prime is 4000142401. The reversal of 4000142352 is 2532410004.

It is a super-2 number, since 2×40001423522 = 32002277672528183808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6958 + ... + 89714.

It is an arithmetic number, because the mean of its divisors is an integer number (138536892).

Almost surely, 24000142352 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 4000142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541475680).

4000142352 is an abundant number, since it is smaller than the sum of its proper divisors (7082809008).

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

4000142352 is a wasteful number, since it uses less digits than its factorization.

4000142352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82840 (or 82834 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4000142352 is about 63246.6785847289. The cubic root of 4000142352 is about 1587.4198825544.

Adding to 4000142352 its reverse (2532410004), we get a palindrome (6532552356).

The spelling of 4000142352 in words is "four billion, one hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2544 3021 4028 6042 8056 12084 16112 24168 48336 82757 165514 248271 331028 496542 662056 993084 1324112 1572383 1986168 3144766 3972336 4386121 4717149 6289532 8772242 9434298 12579064 13158363 17544484 18868596 25158128 26316726 35088968 37737192 52633452 70177936 75474384 83336299 105266904 166672598 210533808 250008897 333345196 500017794 666690392 1000035588 1333380784 2000071176 4000142352