Search a number
-
+
142110011224134 = 2343075077562813
BaseRepresentation
bin100000010011111110010000…
…101111001111000001000110
3200122011120210000121121120000
4200103332100233033001012
5122111312300333133014
61222124234330222130
741635052361543042
oct4023762057170106
9618146700547500
10142110011224134
114130a576598a88
1213b31a57284946
13613abbb8a1765
142714238643022
15116691a57c509
hex813f90bcf046

142110011224134 has 80 divisors (see below), whose sum is σ = 319532421083568. Its totient is φ = 47206320257088.

The previous prime is 142110011224073. The next prime is 142110011224157. The reversal of 142110011224134 is 431422110011241.

142110011224134 is a `hidden beast` number, since 1 + 4 + 21 + 100 + 1 + 122 + 413 + 4 = 666.

It is a super-2 number, since 2×1421100112241342 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142110011224098 and 142110011224107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252218112 + ... + 252780924.

Almost surely, 2142110011224134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142110011224134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159766210541784).

142110011224134 is an abundant number, since it is smaller than the sum of its proper divisors (177422409859434).

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

142110011224134 is a wasteful number, since it uses less digits than its factorization.

142110011224134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568211 (or 568202 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 142110011224134 its reverse (431422110011241), we get a palindrome (573532121235375).

The spelling of 142110011224134 in words is "one hundred forty-two trillion, one hundred ten billion, eleven million, two hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 307 614 921 1842 2763 5077 5526 8289 10154 15231 16578 24867 30462 45693 49734 91386 137079 274158 411237 562813 822474 1125626 1558639 1688439 3117278 3376878 4675917 5065317 9351834 10130634 14027751 15195951 28055502 30391902 42083253 45587853 84166506 91175706 126249759 172783591 252499518 345567182 518350773 1036701546 1555052319 2857401601 3110104638 4665156957 5714803202 8572204803 9330313914 13995470871 17144409606 25716614409 27990941742 51433228818 77149843227 154299686454 231449529681 462899059362 877222291507 1754444583014 2631666874521 5263333749042 7895000623563 15790001247126 23685001870689 47370003741378 71055005612067 142110011224134