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41432340120 = 23351929636133
BaseRepresentation
bin100110100101100011…
…110101011010011000
310221221111020221202120
4212211203311122120
51134323134340440
631011142501240
72664506036343
oct464543653230
9127844227676
1041432340120
1116631526406
128043734820
133ba3a451b2
1420108db45a
151127618dd0
hex9a58f5698

41432340120 has 128 divisors (see below), whose sum is σ = 130904467200. Its totient is φ = 10461878784.

The previous prime is 41432340113. The next prime is 41432340137. The reversal of 41432340120 is 2104323414.

41432340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414323401202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6752574 + ... + 6758706.

It is an arithmetic number, because the mean of its divisors is an integer number (1022691150).

Almost surely, 241432340120 is an apocalyptic number.

41432340120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41432340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65452233600).

41432340120 is an abundant number, since it is smaller than the sum of its proper divisors (89472127080).

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

41432340120 is a wasteful number, since it uses less digits than its factorization.

41432340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41432340120 its reverse (2104323414), we get a palindrome (43536663534).

The spelling of 41432340120 in words is "forty-one billion, four hundred thirty-two million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 2963 5926 6133 8889 11852 12266 14815 17778 18399 23704 24532 29630 30665 35556 36798 44445 49064 56297 59260 61330 71112 73596 88890 91995 112594 116527 118520 122660 147192 168891 177780 183990 225188 233054 245320 281485 337782 349581 355560 367980 450376 466108 562970 582635 675564 699162 735960 844455 932216 1125940 1165270 1351128 1398324 1688910 1747905 2251880 2330540 2796648 3377820 3495810 4661080 6755640 6991620 13983240 18172079 36344158 54516237 72688316 90860395 109032474 145376632 181720790 218064948 272581185 345269501 363441580 436129896 545162370 690539002 726883160 1035808503 1090324740 1381078004 1726347505 2071617006 2180649480 2762156008 3452695010 4143234012 5179042515 6905390020 8286468024 10358085030 13810780040 20716170060 41432340120