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4134142341144 = 233267856994681
BaseRepresentation
bin111100001010001110000…
…101011111000000011000
3112122012221111011200100100
4330022032011133000120
51020213210414404034
612443110533535400
7604452621044604
oct74121605370030
915565844150310
104134142341144
111354309635a32
12569283aa4560
1323cb03c3b7aa
14104144a12504
157281280e099
hex3c28e15f018

4134142341144 has 48 divisors (see below), whose sum is σ = 11363749483320. Its totient is φ = 1357479573120.

The previous prime is 4134142341143. The next prime is 4134142341227. The reversal of 4134142341144 is 4411432414314.

4134142341144 is a `hidden beast` number, since 4 + 1 + 3 + 414 + 234 + 1 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×41341423411442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4134142341099 and 4134142341108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134142341143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428492517 + ... + 428502164.

Almost surely, 24134142341144 is an apocalyptic number.

It is an amenable number.

4134142341144 is an abundant number, since it is smaller than the sum of its proper divisors (7229607142176).

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

4134142341144 is a wasteful number, since it uses less digits than its factorization.

4134142341144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856994760 (or 856994753 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 4134142341144 its reverse (4411432414314), we get a palindrome (8545574755458).

The spelling of 4134142341144 in words is "four trillion, one hundred thirty-four billion, one hundred forty-two million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 856994681 1713989362 2570984043 3427978724 5141968086 6855957448 7712952129 10283936172 15425904258 20567872344 30851808516 57418643627 61703617032 114837287254 172255930881 229674574508 344511861762 459349149016 516767792643 689023723524 1033535585286 1378047447048 2067071170572 4134142341144