Search a number
-
+
10402143120 = 243451605269
BaseRepresentation
bin10011011000000010…
…00001101110010000
3222211221110121210000
421230001001232100
5132300422034440
64440110010000
7515526520605
oct115401015620
928757417700
1010402143120
1144588140a6
1220237a6900
13c9a0cc395
147097246ac
1540d346730
hex26c041b90

10402143120 has 100 divisors (see below), whose sum is σ = 36128206620. Its totient is φ = 2773903104.

The previous prime is 10402143097. The next prime is 10402143181. The reversal of 10402143120 is 2134120401.

10402143120 is a `hidden beast` number, since 1 + 0 + 402 + 143 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4288154256 + 6113988864 = 65484^2 + 78192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10402143093 and 10402143102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 796155 + ... + 809114.

Almost surely, 210402143120 is an apocalyptic number.

10402143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402143120 is an abundant number, since it is smaller than the sum of its proper divisors (25726063500).

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

10402143120 is a wasteful number, since it uses less digits than its factorization.

10402143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605294 (or 1605279 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10402143120 its reverse (2134120401), we get a palindrome (12536263521).

The spelling of 10402143120 in words is "ten billion, four hundred two million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1605269 3210538 4815807 6421076 8026345 9631614 12842152 14447421 16052690 19263228 24079035 25684304 28894842 32105380 38526456 43342263 48158070 57789684 64210760 72237105 77052912 86684526 96316140 115579368 128421520 130026789 144474210 173369052 192632280 216711315 231158736 260053578 288948420 346738104 385264560 433422630 520107156 577896840 650133945 693476208 866845260 1040214312 1155793680 1300267890 1733690520 2080428624 2600535780 3467381040 5201071560 10402143120