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4025141136 = 24321723112
BaseRepresentation
bin1110111111101010…
…1100011110010000
3101101112000100121100
43233322230132100
531220414004021
61503224424400
7201514064232
oct35772543620
911345010540
104025141136
1117860a6125
12944018100
134c1bb4c23
142a281a252
1518858e626
hexefeac790

4025141136 has 135 divisors (see below), whose sum is σ = 12005019793. Its totient is φ = 1258728960.

The previous prime is 4025141123. The next prime is 4025141137. The reversal of 4025141136 is 6311415204.

It is a happy number.

The square root of 4025141136 is 63444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3133760400 + 891380736 = 55980^2 + 29856^2 .

It is a super-2 number, since 2×40251411362 = 32403522329438740992, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4025141137) 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 26 ways as a sum of consecutive naturals, for example, 12942421 + ... + 12942731.

Almost surely, 24025141136 is an apocalyptic number.

4025141136 is the 63444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4025141136

4025141136 is an abundant number, since it is smaller than the sum of its proper divisors (7979878657).

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

4025141136 is a wasteful number, since it uses less digits than its factorization.

4025141136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 4025141136 is about 1590.7198639022.

It can be divided in two parts, 4025 and 141136, that added together give a square (145161 = 3812).

The spelling of 4025141136 in words is "four billion, twenty-five million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 311 408 578 612 622 816 867 933 1156 1224 1244 1734 1866 2312 2448 2488 2601 2799 3468 3732 4624 4976 5202 5287 5598 6936 7464 10404 10574 11196 13872 14928 15861 20808 21148 22392 31722 41616 42296 44784 47583 63444 84592 89879 95166 96721 126888 179758 190332 193442 253776 269637 290163 359516 380664 386884 539274 580326 719032 761328 773768 808911 870489 1078548 1160652 1438064 1547536 1617822 1644257 1740978 2157096 2321304 3235644 3288514 3481956 4314192 4642608 4932771 6471288 6577028 6963912 9865542 12942576 13154056 13927824 14798313 19731084 26308112 27952369 29596626 39462168 55904738 59193252 78924336 83857107 111809476 118386504 167714214 223618952 236773008 251571321 335428428 447237904 503142642 670856856 1006285284 1341713712 2012570568 4025141136