Search a number
-
+
41192175420 = 223251136756687
BaseRepresentation
bin100110010111001111…
…101011011100111100
310221022202100022201200
4212113033223130330
51133330144103140
630531243135500
72655531466614
oct462717533474
9127282308650
1041192175420
1116518a00090
127b97214590
133b660673c6
141dcaa61a44
1511114c9030
hex9973eb73c

41192175420 has 144 divisors (see below), whose sum is σ = 136682477568. Its totient is φ = 9958596480.

The previous prime is 41192175413. The next prime is 41192175433. The reversal of 41192175420 is 2457129114.

41192175420 is a `hidden beast` number, since 4 + 1 + 19 + 217 + 5 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698317 + ... + 755003.

It is an arithmetic number, because the mean of its divisors is an integer number (949183872).

Almost surely, 241192175420 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 41192175420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68341238784).

41192175420 is an abundant number, since it is smaller than the sum of its proper divisors (95490302148).

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

41192175420 is a wasteful number, since it uses less digits than its factorization.

41192175420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57080 (or 57075 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 41192 and 175420, that added together give a palindrome (216612).

The spelling of 41192175420 in words is "forty-one billion, one hundred ninety-two million, one hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 367 396 495 660 734 990 1101 1468 1835 1980 2202 3303 3670 4037 4404 5505 6606 7340 8074 11010 12111 13212 16148 16515 20185 22020 24222 33030 36333 40370 48444 56687 60555 66060 72666 80740 113374 121110 145332 170061 181665 226748 242220 283435 340122 363330 510183 566870 623557 680244 726660 850305 1020366 1133740 1247114 1700610 1870671 2040732 2494228 2550915 3117785 3401220 3741342 5101830 5612013 6235570 7482684 9353355 10203660 11224026 12471140 18706710 20804129 22448052 28060065 37413420 41608258 56120130 62412387 83216516 104020645 112240260 124824774 187237161 208041290 228845419 249649548 312061935 374474322 416082580 457690838 624123870 686536257 748948644 915381676 936185805 1144227095 1248247740 1373072514 1872371610 2059608771 2288454190 2746145028 3432681285 3744743220 4119217542 4576908380 6865362570 8238435084 10298043855 13730725140 20596087710 41192175420