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4140187900 = 2252297511901
BaseRepresentation
bin1111011011000110…
…0100000011111100
3101200112111100002121
43312301210003330
531434342003100
61522454332324
7204412005442
oct36661440374
911615440077
104140187900
1118350344a2
1297665a0a4
1350c996434
142b3c06b92
1519371751a
hexf6c640fc

4140187900 has 72 divisors (see below), whose sum is σ = 9311279040. Its totient is φ = 1596000000.

The previous prime is 4140187879. The next prime is 4140187949. The reversal of 4140187900 is 97810414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2176950 + ... + 2178850.

It is an arithmetic number, because the mean of its divisors is an integer number (129323320).

Almost surely, 24140187900 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 4140187900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655639520).

4140187900 is an abundant number, since it is smaller than the sum of its proper divisors (5171091140).

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

4140187900 is a wasteful number, since it uses less digits than its factorization.

4140187900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 4140187900 is about 64344.2918991265. The cubic root of 4140187900 is about 1605.7330657499.

The spelling of 4140187900 in words is "four billion, one hundred forty million, one hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 751 1450 1502 1901 2900 3004 3755 3802 7510 7604 9505 15020 18775 19010 21779 37550 38020 43558 47525 55129 75100 87116 95050 108895 110258 190100 217790 220516 275645 435580 544475 551290 1088950 1102580 1378225 1427651 2177900 2756450 2855302 5512900 5710604 7138255 14276510 28553020 35691275 41401879 71382550 82803758 142765100 165607516 207009395 414018790 828037580 1035046975 2070093950 4140187900