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4026141288 = 2334134111657
BaseRepresentation
bin1110111111111010…
…0000101001101000
3101101120220011120000
43233332200221220
531221143010123
61503302103000
7201525431151
oct35776405150
911346804500
104026141288
1117867195a4
1294441aa60
134c2175230
142a29da928
151886dab43
hexeffa0a68

4026141288 has 160 divisors (see below), whose sum is σ = 12441650760. Its totient is φ = 1208494080.

The previous prime is 4026141281. The next prime is 4026141313. The reversal of 4026141288 is 8821416204.

It can be written as a sum of positive squares in 4 ways, for example, as 2158345764 + 1867795524 = 46458^2 + 43218^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4026141281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339556 + ... + 351212.

Almost surely, 24026141288 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 4026141288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220825380).

4026141288 is an abundant number, since it is smaller than the sum of its proper divisors (8415509472).

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

4026141288 is a wasteful number, since it uses less digits than its factorization.

4026141288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11729 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4026141288 is about 63451.8816742262. The cubic root of 4026141288 is about 1590.8516050301.

The spelling of 4026141288 in words is "four billion, twenty-six million, one hundred forty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 81 82 104 108 117 123 156 162 164 216 234 246 312 324 328 351 369 468 492 533 648 702 738 936 984 1053 1066 1107 1404 1476 1599 2106 2132 2214 2808 2952 3198 3321 4212 4264 4428 4797 6396 6642 8424 8856 9594 11657 12792 13284 14391 19188 23314 26568 28782 34971 38376 43173 46628 57564 69942 86346 93256 104913 115128 139884 151541 172692 209826 279768 303082 314739 345384 419652 454623 477937 606164 629478 839304 909246 944217 955874 1212328 1258956 1363869 1433811 1818492 1888434 1911748 2517912 2727738 2867622 3636984 3776868 3823496 4091607 4301433 5455476 5735244 6213181 7553736 8183214 8602866 10910952 11470488 12274821 12426362 12904299 16366428 17205732 18639543 24549642 24852724 25808598 32732856 34411464 37279086 38712897 49099284 49705448 51617196 55918629 74558172 77425794 98198568 103234392 111837258 149116344 154851588 167755887 223674516 309703176 335511774 447349032 503267661 671023548 1006535322 1342047096 2013070644 4026141288