Search a number
-
+
10421142340 = 2257223541617
BaseRepresentation
bin10011011010010011…
…00000001101000100
3222220021012212210211
421231021200031010
5132320303023330
64442025125204
7516150151120
oct115511401504
928807185724
1010421142340
114468510534
12202a029804
13ca102211b
1470c06c580
1540ed4ad2a
hex26d260344

10421142340 has 96 divisors (see below), whose sum is σ = 25210128384. Its totient is φ = 3544611840.

The previous prime is 10421142337. The next prime is 10421142349. The reversal of 10421142340 is 4324112401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10421142349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16889712 + ... + 16890328.

It is an arithmetic number, because the mean of its divisors is an integer number (262605504).

Almost surely, 210421142340 is an apocalyptic number.

10421142340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10421142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605064192).

10421142340 is an abundant number, since it is smaller than the sum of its proper divisors (14788986044).

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

10421142340 is a wasteful number, since it uses less digits than its factorization.

10421142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10421142340 its reverse (4324112401), we get a palindrome (14745254741).

The spelling of 10421142340 in words is "ten billion, four hundred twenty-one million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 541 617 892 1082 1115 1234 1561 2164 2230 2468 2705 3085 3122 3787 4319 4460 5410 6170 6244 7574 7805 8638 10820 12340 15148 15610 17276 18935 21595 31220 37870 43190 75740 86380 120643 137591 241286 275182 333797 482572 550364 603215 667594 687955 844501 963137 1206430 1335188 1375910 1668985 1689002 1926274 2336579 2412860 2751820 3337970 3378004 3852548 4222505 4673158 4815685 6675940 8445010 9346316 9631370 11682895 16890020 19262740 23365790 46731580 74436731 148873462 297746924 372183655 521057117 744367310 1042114234 1488734620 2084228468 2605285585 5210571170 10421142340