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4262424242128 = 2413236147930493
BaseRepresentation
bin111110000001101100010…
…010000110011111010000
3120002111001200012110012021
4332001230102012133100
51024313421101222003
613022044120141224
7616643563156123
oct76015422063720
916074050173167
104262424242128
1113a37583aa918
1258a105307814
1324bc38b9a990
1410a433c443ba
1575d1e8e62bd
hex3e06c4867d0

4262424242128 has 160 divisors (see below), whose sum is σ = 9452534999040. Its totient is φ = 1846966302720.

The previous prime is 4262424242123. The next prime is 4262424242129. The reversal of 4262424242128 is 8212424242624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4262424242123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139768450 + ... + 139798942.

It is an arithmetic number, because the mean of its divisors is an integer number (59078343744).

Almost surely, 24262424242128 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 4262424242128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726267499520).

4262424242128 is an abundant number, since it is smaller than the sum of its proper divisors (5190110756912).

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

4262424242128 is a wasteful number, since it uses less digits than its factorization.

4262424242128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31077 (or 31071 counting only the distinct ones).

The product of its digits is 786432, while the sum is 43.

The spelling of 4262424242128 in words is "four trillion, two hundred sixty-two billion, four hundred twenty-four million, two hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 61 92 104 122 184 208 244 299 368 479 488 598 793 958 976 1196 1403 1586 1916 2392 2806 3172 3832 4784 5612 6227 6344 7664 11017 11224 12454 12688 18239 22034 22448 24908 29219 30493 36478 44068 49816 58438 60986 72956 88136 99632 116876 121972 143221 145912 176272 233752 243944 286442 291824 379847 396409 467504 487888 572884 672037 701339 759694 792818 1145768 1344074 1402678 1519388 1585636 1860073 2291536 2688148 2805356 3038776 3171272 3720146 5376296 5610712 6077552 6342544 7440292 8736481 9117407 10752592 11221424 14606147 14880584 17472962 18234814 24180949 29212294 29761168 34945924 36469628 42781679 48361898 58424588 69891848 72939256 85563358 96723796 116849176 139783696 145878512 171126716 189879911 193447592 233698352 335941381 342253432 379759822 386895184 556161827 671882762 684506864 759519644 890974967 1112323654 1343765524 1519039288 1781949934 2224647308 2687531048 3038078576 3563899868 4367237953 4449294616 5375062096 7127799736 8734475906 8898589232 11582674571 14255599472 17468951812 20492424241 23165349142 34937903624 40984848482 46330698284 69875807248 81969696964 92661396568 163939393928 185322793136 266401515133 327878787856 532803030266 1065606060532 2131212121064 4262424242128