Search a number
-
+
401006333252044 = 2213377911632268503
BaseRepresentation
bin101101100101101101001000…
…0000010111101000111001100
31221120211211102211211002011101
41123023122100002331013030
5410030041432303031134
63540511433305032444
7150315515523301132
oct13313322002750714
91846754384732141
10401006333252044
111068559159a8593
1238b85869785724
131429a9729533c0
147104b4ac4b752
1531561658a8e14
hex16cb6900bd1cc

401006333252044 has 96 divisors (see below), whose sum is σ = 786669276395520. Its totient is φ = 177645266443008.

The previous prime is 401006333252039. The next prime is 401006333252053. The reversal of 401006333252044 is 440252333600104.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 401006333251994 and 401006333252012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175637097 + ... + 177905599.

It is an arithmetic number, because the mean of its divisors is an integer number (8194471629120).

Almost surely, 2401006333252044 is an apocalyptic number.

It is an amenable number.

401006333252044 is a deficient number, since it is larger than the sum of its proper divisors (385662943143476).

401006333252044 is a wasteful number, since it uses less digits than its factorization.

401006333252044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269799 (or 2269797 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 401006333252044 its reverse (440252333600104), we get a palindrome (841258666852148).

The spelling of 401006333252044 in words is "four hundred one trillion, six billion, three hundred thirty-three million, two hundred fifty-two thousand, forty-four".

Divisors: 1 2 4 13 26 37 52 74 79 148 158 316 481 962 1027 1163 1924 2054 2326 2923 4108 4652 5846 11692 15119 30238 37999 43031 60476 75998 86062 91877 151996 172124 183754 367508 559403 1118806 1194401 2237612 2268503 2388802 3399449 4537006 4777604 6798898 9074012 13597796 29490539 44192837 58981078 83934611 88385674 117962156 167869222 176771348 179211737 335738444 358423474 716846948 1091149943 2182299886 2329752581 2638268989 4364599772 4659505162 5276537978 6630834269 9319010324 10553075956 13261668538 26523337076 34297496857 68594993714 86200845497 97615952593 137189987428 172401690994 195231905186 208423250131 344803381988 390463810372 416846500262 833693000524 1269007383709 2538014767418 2709502251703 5076029534836 5419004503406 7711660254847 10838009006812 15423320509694 30846641019388 100251583313011 200503166626022 401006333252044