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41589861144 = 233133115128477
BaseRepresentation
bin100110101110111100…
…101110101100011000
310222100110122211222120
4212232330232230120
51140134001024034
631034531021240
73001430662326
oct465674565430
9128313584876
1041589861144
1116702435277
12808843a820
133bca5784c0
1420277c2d16
151136381c49
hex9aef2eb18

41589861144 has 128 divisors (see below), whose sum is σ = 116354273280. Its totient is φ = 12301632000.

The previous prime is 41589861119. The next prime is 41589861151. The reversal of 41589861144 is 44116898514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446234 + ... + 1474710.

It is an arithmetic number, because the mean of its divisors is an integer number (909017760).

Almost surely, 241589861144 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 41589861144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58177136640).

41589861144 is an abundant number, since it is smaller than the sum of its proper divisors (74764412136).

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

41589861144 is a wasteful number, since it uses less digits than its factorization.

41589861144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28681 (or 28677 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The spelling of 41589861144 in words is "forty-one billion, five hundred eighty-nine million, eight hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 151 156 186 248 302 312 372 403 453 604 744 806 906 1208 1209 1612 1812 1963 2418 3224 3624 3926 4681 4836 5889 7852 9362 9672 11778 14043 15704 18724 23556 28086 28477 37448 47112 56172 56954 60853 85431 112344 113908 121706 170862 182559 227816 243412 341724 365118 370201 486824 683448 730236 740402 882787 1110603 1460472 1480804 1765574 2221206 2648361 2961608 3531148 4300027 4442412 5296722 7062296 8600054 8884824 10593444 11476231 12900081 17200108 21186888 22952462 25800162 34400216 34428693 45904924 51600324 55900351 68857386 91809848 103200648 111800702 133300837 137714772 167701053 223601404 266601674 275429544 335402106 399902511 447202808 533203348 670804212 799805022 1066406696 1341608424 1599610044 1732910881 3199220088 3465821762 5198732643 6931643524 10397465286 13863287048 20794930572 41589861144