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4402114140 = 2235971375521
BaseRepresentation
bin1000001100110001…
…01110111001011100
3102100210100120100110
410012120232321130
533003420123030
62004452330020
7214042232004
oct40630567134
912323316313
104402114140
111959973566
12a2a313910
13552023388
142da909004
151ab7051b0
hex10662ee5c

4402114140 has 96 divisors (see below), whose sum is σ = 12546160704. Its totient is φ = 1153105920.

The previous prime is 4402114091. The next prime is 4402114151. The reversal of 4402114140 is 414112044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794580 + ... + 800100.

It is an arithmetic number, because the mean of its divisors is an integer number (130689174).

Almost surely, 24402114140 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 4402114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273080352).

4402114140 is an abundant number, since it is smaller than the sum of its proper divisors (8144046564).

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

4402114140 is a wasteful number, since it uses less digits than its factorization.

4402114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4402114140 is about 66348.4298231691. The cubic root of 4402114140 is about 1638.9049476435.

Adding to 4402114140 its reverse (414112044), we get a palindrome (4816226184).

The spelling of 4402114140 in words is "four billion, four hundred two million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 137 194 274 291 388 411 485 548 582 685 822 970 1164 1370 1455 1644 1940 2055 2740 2910 4110 5521 5820 8220 11042 13289 16563 22084 26578 27605 33126 39867 53156 55210 66252 66445 79734 82815 110420 132890 159468 165630 199335 265780 331260 398670 535537 756377 797340 1071074 1512754 1606611 2142148 2269131 2677685 3025508 3213222 3781885 4538262 5355370 6426444 7563770 8033055 9076524 10710740 11345655 15127540 16066110 22691310 32132220 45382620 73368569 146737138 220105707 293474276 366842845 440211414 733685690 880422828 1100528535 1467371380 2201057070 4402114140