Search a number
-
+
142414143220 = 2253117310911217
BaseRepresentation
bin1000010010100010001…
…0110101111011110100
3111121121002100001200001
42010220202311323310
54313131010040340
6145231341201044
713201104146506
oct2045042657364
9447532301601
10142414143220
1155441086728
1223726260184
1310577a902cb
146c700cdd76
153a87b3d29a
hex21288b5ef4

142414143220 has 96 divisors (see below), whose sum is σ = 311041575936. Its totient is φ = 54714163200.

The previous prime is 142414143211. The next prime is 142414143229. The reversal of 142414143220 is 22341414241.

It is an interprime number because it is at equal distance from previous prime (142414143211) and next prime (142414143229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142414143229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117020052 + ... + 117021268.

It is an arithmetic number, because the mean of its divisors is an integer number (3240016416).

Almost surely, 2142414143220 is an apocalyptic number.

142414143220 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 142414143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520787968).

142414143220 is an abundant number, since it is smaller than the sum of its proper divisors (168627432716).

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

142414143220 is a wasteful number, since it uses less digits than its factorization.

142414143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 142414143220 its reverse (22341414241), we get a palindrome (164755557461).

The spelling of 142414143220 in words is "one hundred forty-two billion, four hundred fourteen million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 173 310 346 620 692 865 1091 1217 1730 2182 2434 3460 4364 4868 5363 5455 6085 10726 10910 12170 21452 21820 24340 26815 33821 37727 53630 67642 75454 107260 135284 150908 169105 188635 188743 210541 338210 377270 377486 421082 676420 754540 754972 842164 943715 1052705 1327747 1887430 2105410 2655494 3774860 4210820 5310988 5851033 6526771 6638735 11702066 13053542 13277470 23404132 26107084 26554940 29255165 32633855 41160157 58510330 65267710 82320314 117020660 130535420 164640628 205800785 229700231 411601570 459400462 823203140 918800924 1148501155 2297002310 4594004620 7120707161 14241414322 28482828644 35603535805 71207071610 142414143220