Search a number
-
+
10431214144 = 261317737501
BaseRepresentation
bin10011011011011111…
…11011001001000000
3222220222011120201121
421231233323021000
5132330342323034
64443025042024
7516331600021
oct115557731100
928828146647
1010431214144
11447316a63a
122031486314
13ca313a580
1470d530c48
15410b8a1b4
hex26dbfb240

10431214144 has 56 divisors (see below), whose sum is σ = 23603014008. Its totient is φ = 4531200000.

The previous prime is 10431214099. The next prime is 10431214163. The reversal of 10431214144 is 44141213401.

It can be written as a sum of positive squares in 4 ways, for example, as 2061160000 + 8370054144 = 45400^2 + 91488^2 .

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, 354607 + ... + 382894.

It is an arithmetic number, because the mean of its divisors is an integer number (421482393).

Almost surely, 210431214144 is an apocalyptic number.

It is an amenable number.

10431214144 is an abundant number, since it is smaller than the sum of its proper divisors (13171799864).

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

10431214144 is a wasteful number, since it uses less digits than its factorization.

10431214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737543 (or 737533 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10431214144 its reverse (44141213401), we get a palindrome (54572427545).

The spelling of 10431214144 in words is "ten billion, four hundred thirty-one million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 737501 1475002 2950004 5900008 9587513 11800016 12537517 19175026 23600032 25075034 38350052 47200064 50150068 76700104 100300136 153400208 162987721 200600272 306800416 325975442 401200544 613600832 651950884 802401088 1303901768 2607803536 5215607072 10431214144