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5140214352 = 2432713392263
BaseRepresentation
bin1001100100110000…
…10111001001010000
3111021020012221111100
410302120113021100
541011343324402
62210020344400
7241244046450
oct46230271120
914236187440
105140214352
1121a8576139
12bb5545100
1363bc12670
1436a95dd60
1520140171c
hex132617250

5140214352 has 120 divisors (see below), whose sum is σ = 17705227904. Its totient is φ = 1355657472.

The previous prime is 5140214329. The next prime is 5140214353. The reversal of 5140214352 is 2534120415.

5140214352 is a `hidden beast` number, since 514 + 0 + 2 + 143 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140214353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 183028 + ... + 209235.

Almost surely, 25140214352 is an apocalyptic number.

5140214352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5140214352 is an abundant number, since it is smaller than the sum of its proper divisors (12565013552).

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

5140214352 is a wasteful number, since it uses less digits than its factorization.

5140214352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392297 (or 392288 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5140214352 is about 71695.2882133826. The cubic root of 5140214352 is about 1725.8130287146.

Adding to 5140214352 its reverse (2534120415), we get a palindrome (7674334767).

The spelling of 5140214352 in words is "five billion, one hundred forty million, two hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 392263 784526 1176789 1569052 2353578 2745841 3138104 3530367 4707156 5099419 5491682 6276208 7060734 8237523 9414312 10198838 10983364 14121468 15298257 16475046 18828624 20397676 21966728 24712569 28242936 30596514 32950092 35695933 40795352 43933456 45894771 49425138 56485872 61193028 65900184 71391866 81590704 91789542 98850276 107087799 122386056 131800368 142783732 183579084 197700552 214175598 244772112 285567464 321263397 367158168 395401104 428351196 571134928 642526794 734316336 856702392 1285053588 1713404784 2570107176 5140214352