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41542900360 = 235131931135637
BaseRepresentation
bin100110101100001001…
…100101101010001000
310222020012021222220021
4212230021211222020
51140034440302420
631030132310224
73000320553403
oct465411455210
9128205258807
1041542900360
111668897aa05
128074772374
133bc0915560
14202147ad3a
1511321a77aa
hex9ac265a88

41542900360 has 128 divisors (see below), whose sum is σ = 109378483200. Its totient is φ = 14062740480.

The previous prime is 41542900349. The next prime is 41542900361. The reversal of 41542900360 is 6300924514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41542900361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238462 + ... + 374098.

It is an arithmetic number, because the mean of its divisors is an integer number (854519400).

Almost surely, 241542900360 is an apocalyptic number.

41542900360 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 41542900360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54689241600).

41542900360 is an abundant number, since it is smaller than the sum of its proper divisors (67835582840).

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

41542900360 is a wasteful number, since it uses less digits than its factorization.

41542900360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135711 (or 135707 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 41542900360 in words is "forty-one billion, five hundred forty-two million, nine hundred thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 19 20 26 31 38 40 52 62 65 76 95 104 124 130 152 155 190 247 248 260 310 380 403 494 520 589 620 760 806 988 1178 1235 1240 1612 1976 2015 2356 2470 2945 3224 4030 4712 4940 5890 7657 8060 9880 11780 15314 16120 23560 30628 38285 61256 76570 135637 153140 271274 306280 542548 678185 1085096 1356370 1763281 2577103 2712740 3526562 4204747 5154206 5425480 7053124 8409494 8816405 10308412 12885515 14106248 16818988 17632810 20616824 21023735 25771030 33502339 33637976 35265620 42047470 51542060 54661711 67004678 70531240 79890193 84094940 103084120 109323422 134009356 159780386 167511695 168189880 218646844 268018712 273308555 319560772 335023390 399450965 437293688 546617110 639121544 670046780 798901930 1038572509 1093234220 1340093560 1597803860 2077145018 2186468440 3195607720 4154290036 5192862545 8308580072 10385725090 20771450180 41542900360