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1434144540 = 2235291077703
BaseRepresentation
bin101010101111011…
…0100111100011100
310200221121002110110
41111132310330130
510414120111130
6354150410020
750353012263
oct12536647434
93627532413
101434144540
116765a0024
12340360910
1319b17504a
14d867d5da
1585d8bab0
hex557b4f1c

1434144540 has 96 divisors (see below), whose sum is σ = 4193441280. Its totient is φ = 365752576.

The previous prime is 1434144539. The next prime is 1434144541. The reversal of 1434144540 is 454414341.

It is an interprime number because it is at equal distance from previous prime (1434144539) and next prime (1434144541).

It is a super-2 number, since 2×14341445402 = 4113541123223623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1434144498 and 1434144507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434144541) 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, 182329 + ... + 190031.

It is an arithmetic number, because the mean of its divisors is an integer number (43681680).

Almost surely, 21434144540 is an apocalyptic number.

1434144540 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 1434144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096720640).

1434144540 is an abundant number, since it is smaller than the sum of its proper divisors (2759296740).

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

1434144540 is a wasteful number, since it uses less digits than its factorization.

1434144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1434144540 is about 37870.1008712678. The cubic root of 1434144540 is about 1127.7105445362.

Adding to 1434144540 its reverse (454414341), we get a palindrome (1888558881).

The spelling of 1434144540 in words is "one billion, four hundred thirty-four million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 107 116 145 174 214 290 321 348 428 435 535 580 642 870 1070 1284 1605 1740 2140 3103 3210 6206 6420 7703 9309 12412 15406 15515 18618 23109 30812 31030 37236 38515 46218 46545 62060 77030 92436 93090 115545 154060 186180 223387 231090 446774 462180 670161 824221 893548 1116935 1340322 1648442 2233870 2472663 2680644 3296884 3350805 4121105 4467740 4945326 6701610 8242210 9890652 12363315 13403220 16484420 23902409 24726630 47804818 49453260 71707227 95609636 119512045 143414454 239024090 286828908 358536135 478048180 717072270 1434144540