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4200102140 = 2251336744017
BaseRepresentation
bin1111101001011000…
…0111100011111100
3101211201020021222112
43322112013203330
532100211232030
61532434433152
7206040164513
oct37226074374
911751207875
104200102140
1118659369a3
129927327b8
1351c213350
142bbb6167a
15198aeea95
hexfa5878fc

4200102140 has 48 divisors (see below), whose sum is σ = 9524790912. Its totient is φ = 1546546176.

The previous prime is 4200102139. The next prime is 4200102143. The reversal of 4200102140 is 412010024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200102143) 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 15 ways as a sum of consecutive naturals, for example, 73412 + ... + 117428.

It is an arithmetic number, because the mean of its divisors is an integer number (198433144).

Almost surely, 24200102140 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 4200102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762395456).

4200102140 is an abundant number, since it is smaller than the sum of its proper divisors (5324688772).

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

4200102140 is a wasteful number, since it uses less digits than its factorization.

4200102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44406 (or 44404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4200102140 is about 64808.1950064959. The cubic root of 4200102140 is about 1613.4417249345.

Adding to 4200102140 its reverse (412010024), we get a palindrome (4612112164).

The spelling of 4200102140 in words is "four billion, two hundred million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 367 734 1468 1835 3670 4771 7340 9542 19084 23855 44017 47710 88034 95420 176068 220085 440170 572221 880340 1144442 2288884 2861105 5722210 11444420 16154239 32308478 64616956 80771195 161542390 210005107 323084780 420010214 840020428 1050025535 2100051070 4200102140