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41042210311120 = 24517139217108603
BaseRepresentation
bin10010101010011111000100…
…10111011100101111010000
312101022121010012111102010211
421111033202113130233100
520334413421314423440
6223142310420133504
711434126142366224
oct1125174227345720
9171277105442124
1041042210311120
11120939a3830507
12472a309237294
1319b9357817555
14a1c64c892784
154b2907021eea
hex2553e25dcbd0

41042210311120 has 80 divisors (see below), whose sum is σ = 101763144866880. Its totient is φ = 15340025382912.

The previous prime is 41042210310979. The next prime is 41042210311153. The reversal of 41042210311120 is 2111301224014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 41042210311091 and 41042210311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108365262 + ... + 108743341.

It is an arithmetic number, because the mean of its divisors is an integer number (1272039310836).

Almost surely, 241042210311120 is an apocalyptic number.

41042210311120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41042210311120 is an abundant number, since it is smaller than the sum of its proper divisors (60720934555760).

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

41042210311120 is a wasteful number, since it uses less digits than its factorization.

41042210311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217108772 (or 217108766 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 41042210311120 its reverse (2111301224014), we get a palindrome (43153511535134).

The spelling of 41042210311120 in words is "forty-one trillion, forty-two billion, two hundred ten million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 139 170 272 278 340 556 680 695 1112 1360 1390 2224 2363 2780 4726 5560 9452 11120 11815 18904 23630 37808 47260 94520 189040 217108603 434217206 868434412 1085543015 1736868824 2171086030 3473737648 3690846251 4342172060 7381692502 8684344120 14763385004 17368688240 18454231255 29526770008 30178095817 36908462510 59053540016 60356191634 73816925020 120712383268 147633850040 150890479085 241424766536 295267700080 301780958170 482849533072 513027628889 603561916340 1026055257778 1207123832680 2052110515556 2414247665360 2565138144445 4104221031112 5130276288890 8208442062224 10260552577780 20521105155560 41042210311120