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3542213140 = 2253121127077
BaseRepresentation
bin1101001100100001…
…1110001000010100
3100010212022001221021
43103020132020110
524223301310030
61343253530524
7153531213004
oct32310361024
910125261837
103542213140
11155853a184
1282a343a44
13445b2960b
1425862a004
1515ae9997a
hexd321e214

3542213140 has 48 divisors (see below), whose sum is σ = 7715280384. Its totient is φ = 1364630400.

The previous prime is 3542213137. The next prime is 3542213173. The reversal of 3542213140 is 413122453.

It is a super-3 number, since 3×35422131403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 117282 + ... + 144358.

It is an arithmetic number, because the mean of its divisors is an integer number (160735008).

Almost surely, 23542213140 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 3542213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857640192).

3542213140 is an abundant number, since it is smaller than the sum of its proper divisors (4173067244).

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

3542213140 is a wasteful number, since it uses less digits than its factorization.

3542213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27328 (or 27326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3542213140 is about 59516.4946884475. The cubic root of 3542213140 is about 1524.3741070358.

Adding to 3542213140 its reverse (413122453), we get a palindrome (3955335593).

The spelling of 3542213140 in words is "three billion, five hundred forty-two million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 211 310 422 620 844 1055 2110 4220 6541 13082 26164 27077 32705 54154 65410 108308 130820 135385 270770 541540 839387 1678774 3357548 4196935 5713247 8393870 11426494 16787740 22852988 28566235 57132470 114264940 177110657 354221314 708442628 885553285 1771106570 3542213140