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2114142352 = 247137211653
BaseRepresentation
bin111111000000011…
…0100000010010000
312110100010120002121
41332000310002100
513312210023402
6545441224024
7103250625220
oct17600640220
95410116077
102114142352
11995418493
124b0032014
1327900000a
14160acc080
15c590c837
hex7e034090

2114142352 has 80 divisors (see below), whose sum is σ = 4745089152. Its totient is φ = 893813760.

The previous prime is 2114142341. The next prime is 2114142361. The reversal of 2114142352 is 2532414112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3237258 + ... + 3237910.

Almost surely, 22114142352 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 2114142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372544576).

2114142352 is an abundant number, since it is smaller than the sum of its proper divisors (2630946800).

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

2114142352 is a wasteful number, since it uses less digits than its factorization.

2114142352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 2114142352 is about 45979.8037403380. The cubic root of 2114142352 is about 1283.4474027951.

Adding to 2114142352 its reverse (2532414112), we get a palindrome (4646556464).

The spelling of 2114142352 in words is "two billion, one hundred fourteen million, one hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 211 274 422 548 653 844 959 1096 1306 1477 1688 1918 2192 2612 2954 3376 3836 4571 5224 5908 7672 9142 10448 11816 15344 18284 23632 28907 36568 57814 73136 89461 115628 137783 178922 202349 231256 275566 357844 404698 462512 551132 626227 715688 809396 964481 1102264 1252454 1431376 1618792 1928962 2204528 2504908 3237584 3857924 5009816 7715848 10019632 15431696 18876271 37752542 75505084 132133897 151010168 264267794 302020336 528535588 1057071176 2114142352