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2114000140 = 225726135363
BaseRepresentation
bin111111000000001…
…0001010100001100
312110022212100000111
41332000101110030
513312141001030
6545434205404
7103246463500
oct17600212414
95408770014
102114000140
1199533065a
124abb83864
13278c80375
14160a92300
15c58d062a
hex7e01150c

2114000140 has 72 divisors (see below), whose sum is σ = 5249007792. Its totient is φ = 712897920.

The previous prime is 2114000137. The next prime is 2114000191. The reversal of 2114000140 is 410004112.

It is a self number, because there is not a number n which added to its sum of digits gives 2114000140.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42099 + ... + 77461.

It is an arithmetic number, because the mean of its divisors is an integer number (72902886).

Almost surely, 22114000140 is an apocalyptic number.

2114000140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624503896).

2114000140 is an abundant number, since it is smaller than the sum of its proper divisors (3135007652).

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

2114000140 is a wasteful number, since it uses less digits than its factorization.

2114000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35447 (or 35438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2114000140 is about 45978.2572527494. The cubic root of 2114000140 is about 1283.4186242671.

Adding to 2114000140 its reverse (410004112), we get a palindrome (2524004252).

The spelling of 2114000140 in words is "two billion, one hundred fourteen million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2989 4270 5978 8540 11956 14945 29890 35363 59780 70726 141452 176815 247541 353630 495082 707260 990164 1237705 1732787 2157143 2475410 3465574 4314286 4950820 6931148 8628572 8663935 10785715 15100001 17327870 21571430 30200002 34655740 43142860 60400004 75500005 105700007 151000010 211400014 302000020 422800028 528500035 1057000070 2114000140