Search a number
-
+
41506906330190 = 25719312941237409
BaseRepresentation
bin10010111000000000101000…
…11010000101010001001110
312102222000120200001002000002
421130000110122011101032
520420022121010031230
6224140002020404302
711512526555362520
oct1134002432052116
9172860520032002
1041506906330190
1112252a865a4564
1247a4396b46692
131a2111377b882
14a36d3307ba10
154bea5357b545
hex25c01468544e

41506906330190 has 64 divisors (see below), whose sum is σ = 85835042305920. Its totient is φ = 14156050268160.

The previous prime is 41506906330147. The next prime is 41506906330229. The reversal of 41506906330190 is 9103360960514.

It is a super-2 number, since 2×415069063301902 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

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, 174714206 + ... + 174951614.

It is an arithmetic number, because the mean of its divisors is an integer number (1341172536030).

Almost surely, 241506906330190 is an apocalyptic number.

41506906330190 is an abundant number, since it is smaller than the sum of its proper divisors (44328135975730).

41506906330190 is a wasteful number, since it uses less digits than its factorization.

41506906330190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250557.

The product of its (nonzero) digits is 524880, while the sum is 47.

The spelling of 41506906330190 in words is "forty-one trillion, five hundred six billion, nine hundred six million, three hundred thirty thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 193 386 965 1351 1930 2702 6755 12941 13510 25882 64705 90587 129410 181174 237409 452935 474818 905870 1187045 1661863 2374090 2497613 3323726 4995226 8309315 12488065 16618630 17483291 24976130 34966582 45819937 87416455 91639874 174832910 229099685 320739559 458199370 641479118 1603697795 3072309869 3207395590 6144619738 15361549345 21506169083 30723098690 43012338166 107530845415 215061690830 592955804717 1185911609434 2964779023585 4150690633019 5929558047170 8301381266038 20753453165095 41506906330190