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41512226140 = 225711101266891
BaseRepresentation
bin100110101010010100…
…100100110101011100
310222011001120120210001
4212222110210311130
51140004112214030
631023115024044
72666466046240
oct465224446534
9128131516701
1041512226140
1116672629a10
12806643b024
133bb7465728
14201b374420
15112e648cca
hex9aa524d5c

41512226140 has 96 divisors (see below), whose sum is σ = 109763071488. Its totient is φ = 12810720000.

The previous prime is 41512226113. The next prime is 41512226159. The reversal of 41512226140 is 4162221514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 41512226099 and 41512226108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22095 + ... + 288985.

It is an arithmetic number, because the mean of its divisors is an integer number (1143365328).

Almost surely, 241512226140 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 41512226140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54881535744).

41512226140 is an abundant number, since it is smaller than the sum of its proper divisors (68250845348).

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

41512226140 is a wasteful number, since it uses less digits than its factorization.

41512226140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267019 (or 267017 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 41512226140 its reverse (4162221514), we get a palindrome (45674447654).

The spelling of 41512226140 in words is "forty-one billion, five hundred twelve million, two hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 155540 266891 533782 1067564 1334455 1868237 2668910 2935801 3736474 5337820 5871602 7472948 9341185 11743204 14679005 18682370 20550607 26955991 29358010 37364740 41101214 53911982 58716020 82202428 102753035 107823964 134779955 188691937 205506070 269559910 296515901 377383874 411012140 539119820 593031802 754767748 943459685 1186063604 1482579505 1886919370 2075611307 2965159010 3773838740 4151222614 5930318020 8302445228 10378056535 20756113070 41512226140