Search a number
-
+
3401124102432 = 253272241009361
BaseRepresentation
bin110001011111100010110…
…010110100000100100000
3110001010220012000222002100
4301133202302310010200
5421211000232234212
611122242125050400
7500503011604500
oct61374262640440
913033805028070
103401124102432
1110a1454985951
1246b1b16b6a00
131b895600a6c4
14ba8884ada00
155d70eb84bdc
hex317e2cb4120

3401124102432 has 108 divisors (see below), whose sum is σ = 11251040046246. Its totient is φ = 971749739520.

The previous prime is 3401124102421. The next prime is 3401124102449. The reversal of 3401124102432 is 2342014211043.

3401124102432 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 2 + 410 + 243 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2504762030736 + 896362071696 = 1582644^2 + 946764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3401124102396 and 3401124102405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120490569 + ... + 120518792.

Almost surely, 23401124102432 is an apocalyptic number.

3401124102432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3401124102432 is an abundant number, since it is smaller than the sum of its proper divisors (7849915943814).

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

3401124102432 is a wasteful number, since it uses less digits than its factorization.

3401124102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241009391 (or 241009373 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3401124102432 its reverse (2342014211043), we get a palindrome (5743138313475).

The spelling of 3401124102432 in words is "three trillion, four hundred one billion, one hundred twenty-four million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 241009361 482018722 723028083 964037444 1446056166 1687065527 1928074888 2169084249 2892112332 3374131054 3856149776 4338168498 5061196581 5784224664 6748262108 7712299552 8676336996 10122393162 11568449328 11809458689 13496524216 15183589743 17352673992 20244786324 23136898656 23618917378 26993048432 30367179486 34705347984 35428376067 40489572648 47237834756 53986096864 60734358972 69410695968 70856752134 80979145296 94475669512 106285128201 121468717944 141713504268 161958290592 188951339024 212570256402 242937435888 283427008536 377902678048 425140512804 485874871776 566854017072 850281025608 1133708034144 1700562051216 3401124102432