Search a number
-
+
41302202112 = 283224174383
BaseRepresentation
bin100110011101110011…
…011001011100000000
310221121102101020222100
4212131303121130000
51134041330431422
630550213310400
72661335632263
oct463563313400
9127542336870
1041302202112
111657501a836
128008035400
133b82aab962
141ddb502cda
15111aeae7ac
hex99dcd9700

41302202112 has 108 divisors (see below), whose sum is σ = 119580164704. Its totient is φ = 13710090240.

The previous prime is 41302202101. The next prime is 41302202113. The reversal of 41302202112 is 21120220314.

It is a happy number.

41302202112 is a `hidden beast` number, since 413 + 0 + 220 + 21 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41302202113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 518073 + ... + 592455.

Almost surely, 241302202112 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 41302202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59790082352).

41302202112 is an abundant number, since it is smaller than the sum of its proper divisors (78277962592).

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

41302202112 is a wasteful number, since it uses less digits than its factorization.

41302202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74646 (or 74629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41302202112 its reverse (21120220314), we get a palindrome (62422422426).

The spelling of 41302202112 in words is "forty-one billion, three hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 256 288 384 482 576 723 768 964 1152 1446 1928 2169 2304 2892 3856 4338 5784 7712 8676 11568 15424 17352 23136 30848 34704 46272 61696 69408 74383 92544 138816 148766 185088 223149 277632 297532 446298 555264 595064 669447 892596 1190128 1338894 1785192 2380256 2677788 3570384 4760512 5355576 7140768 9521024 10711152 14281536 17926303 19042048 21422304 28563072 35852606 42844608 53778909 57126144 71705212 85689216 107557818 143410424 161336727 171378432 215115636 286820848 322673454 430231272 573641696 645346908 860462544 1147283392 1290693816 1720925088 2294566784 2581387632 3441850176 4589133568 5162775264 6883700352 10325550528 13767400704 20651101056 41302202112