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41402617050 = 23522937257239
BaseRepresentation
bin100110100011110010…
…011100110011011010
310221212102022212101010
4212203302130303122
51134243032221200
631004201434350
72663665303224
oct464362346332
9127772285333
1041402617050
1116616774a93
12803579b9b6
133b9a839292
14200a9a1414
151124be7150
hex9a3c9ccda

41402617050 has 96 divisors (see below), whose sum is σ = 109090339200. Its totient is φ = 10371836160.

The previous prime is 41402617049. The next prime is 41402617057. The reversal of 41402617050 is 5071620414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41402616999 and 41402617017.

It is not an unprimeable number, because it can be changed into a prime (41402617057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32331 + ... + 289569.

It is an arithmetic number, because the mean of its divisors is an integer number (1136357700).

Almost surely, 241402617050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41402617050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545169600).

41402617050 is an abundant number, since it is smaller than the sum of its proper divisors (67687722150).

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

41402617050 is a wasteful number, since it uses less digits than its factorization.

41402617050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257320 (or 257315 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 41402617050 in words is "forty-one billion, four hundred two million, six hundred seventeen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 37 50 58 74 75 87 111 145 150 174 185 222 290 370 435 555 725 870 925 1073 1110 1450 1850 2146 2175 2775 3219 4350 5365 5550 6438 10730 16095 26825 32190 53650 80475 160950 257239 514478 771717 1286195 1543434 2572390 3858585 6430975 7459931 7717170 9517843 12861950 14919862 19035686 19292925 22379793 28553529 37299655 38585850 44759586 47589215 57107058 74599310 95178430 111898965 142767645 186498275 223797930 237946075 276017447 285535290 372996550 475892150 552034894 559494825 713838225 828052341 1118989650 1380087235 1427676450 1656104682 2760174470 4140261705 6900436175 8280523410 13800872350 20701308525 41402617050