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1434123144 = 23345633931
BaseRepresentation
bin101010101111010…
…1111101110001000
310200221120000010000
41111132233232020
510414113420034
6354150123000
750352563016
oct12536575610
93627500100
101434123144
11676585a43
12340350460
1319b16839c
14d86758b6
1585d85599
hex557afb88

1434123144 has 80 divisors (see below), whose sum is σ = 4025031120. Its totient is φ = 477070560.

The previous prime is 1434123113. The next prime is 1434123149. The reversal of 1434123144 is 4413214341.

1434123144 is a `hidden beast` number, since 1 + 4 + 341 + 2 + 314 + 4 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1434123149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 362859 + ... + 366789.

It is an arithmetic number, because the mean of its divisors is an integer number (50312889).

Almost surely, 21434123144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012515560).

1434123144 is an abundant number, since it is smaller than the sum of its proper divisors (2590907976).

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

1434123144 is a wasteful number, since it uses less digits than its factorization.

1434123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4499 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1434123144 is about 37869.8183782283. The cubic root of 1434123144 is about 1127.7049364044.

Adding to 1434123144 its reverse (4413214341), we get a palindrome (5847337485).

The spelling of 1434123144 in words is "one billion, four hundred thirty-four million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 563 648 1126 1689 2252 3378 3931 4504 5067 6756 7862 10134 11793 13512 15201 15724 20268 23586 30402 31448 35379 40536 45603 47172 60804 70758 91206 94344 106137 121608 141516 182412 212274 283032 318411 364824 424548 636822 849096 1273644 2213153 2547288 4426306 6639459 8852612 13278918 17705224 19918377 26557836 39836754 53115672 59755131 79673508 119510262 159347016 179265393 239020524 358530786 478041048 717061572 1434123144