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4833740142 = 23272111273923
BaseRepresentation
bin1001000000001110…
…10000010101101110
3110110212112102220200
410200013100111232
534344414141032
62115351454330
7230533053600
oct44007202556
913425472820
104833740142
11206057a570
12b2a9873a6
135c0588a8a
1433bd83170
151d456447c
hex1201d056e

4833740142 has 144 divisors (see below), whose sum is σ = 13398607872. Its totient is φ = 1245313440.

The previous prime is 4833740129. The next prime is 4833740147. The reversal of 4833740142 is 2410473384.

4833740142 is a `hidden beast` number, since 483 + 37 + 4 + 0 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4833740097 and 4833740106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4833740147) 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 71 ways as a sum of consecutive naturals, for example, 1230193 + ... + 1234115.

It is an arithmetic number, because the mean of its divisors is an integer number (93045888).

Almost surely, 24833740142 is an apocalyptic number.

4833740142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4833740142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699303936).

4833740142 is an abundant number, since it is smaller than the sum of its proper divisors (8564867730).

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

4833740142 is a wasteful number, since it uses less digits than its factorization.

4833740142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4833740142 is about 69525.1044012161. The cubic root of 4833740142 is about 1690.8085416024.

The spelling of 4833740142 in words is "four billion, eight hundred thirty-three million, seven hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 127 147 154 198 231 254 294 381 441 462 539 693 762 882 889 1078 1143 1386 1397 1617 1778 2286 2667 2794 3234 3923 4191 4851 5334 6223 7846 8001 8382 9702 9779 11769 12446 12573 16002 18669 19558 23538 25146 27461 29337 35307 37338 43153 54922 56007 58674 68453 70614 82383 86306 88011 112014 129459 136906 164766 176022 192227 205359 247149 258918 302071 384454 388377 410718 494298 498221 576681 604142 616077 776754 906213 996442 1153362 1232154 1494663 1730043 1812426 2114497 2718639 2989326 3460086 3487547 4228994 4483989 5437278 5480431 6343491 6975094 8967978 10462641 10960862 12686982 16441293 19030473 20925282 24412829 31387923 32882586 38060946 38363017 48825658 49323879 62775846 73238487 76726034 98647758 115089051 146476974 219715461 230178102 268541119 345267153 439430922 537082238 690534306 805623357 1611246714 2416870071 4833740142