Search a number
-
+
10400343003232 = 257133571546361
BaseRepresentation
bin1001011101011000010011…
…0000000001000001100000
31100211021002210012222210121
42113112010300001001200
52330344400302100412
634041503541010024
72122254123621610
oct227260460010140
940737083188717
1010400343003232
11334a840541866
1211bb7a59b3914
135a5995870150
1427d544a9aa40
1513080b9e2107
hex97584c01060

10400343003232 has 48 divisors (see below), whose sum is σ = 25200831130272. Its totient is φ = 4114421406720.

The previous prime is 10400343003199. The next prime is 10400343003257. The reversal of 10400343003232 is 23230034300401.

It is a junction number, because it is equal to n+sod(n) for n = 10400343003197 and 10400343003206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1785770269 + ... + 1785776092.

It is an arithmetic number, because the mean of its divisors is an integer number (525017315214).

Almost surely, 210400343003232 is an apocalyptic number.

It is an amenable number.

10400343003232 is an abundant number, since it is smaller than the sum of its proper divisors (14800488127040).

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

10400343003232 is a wasteful number, since it uses less digits than its factorization.

10400343003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571546391 (or 3571546383 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 10400343003232 its reverse (23230034300401), we get a palindrome (33630377303633).

The spelling of 10400343003232 in words is "ten trillion, four hundred billion, three hundred forty-three million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3571546361 7143092722 14286185444 25000824527 28572370888 46430102693 50001649054 57144741776 92860205386 100003298108 114289483552 185720410772 200006596216 325010718851 371440821544 400013192432 650021437702 742881643088 800026384864 1300042875404 1485763286176 2600085750808 5200171501616 10400343003232