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1430141040 = 2432510918223
BaseRepresentation
bin101010100111110…
…0011100001110000
310200200001200200200
41111033203201300
510412104003130
6353524515200
750303666256
oct12517434160
93620050620
101430141040
11674306149
1233ab4bb00
1319a3a2a03
14d7d1a5d6
158584a760
hex553e3870

1430141040 has 120 divisors (see below), whose sum is σ = 4847219520. Its totient is φ = 377851392.

The previous prime is 1430141033. The next prime is 1430141047. The reversal of 1430141040 is 401410341.

It is an interprime number because it is at equal distance from previous prime (1430141033) and next prime (1430141047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430141047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69369 + ... + 87591.

It is an arithmetic number, because the mean of its divisors is an integer number (40393496).

Almost surely, 21430141040 is an apocalyptic number.

1430141040 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 1430141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423609760).

1430141040 is an abundant number, since it is smaller than the sum of its proper divisors (3417078480).

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

1430141040 is a wasteful number, since it uses less digits than its factorization.

1430141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18351 (or 18342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1430141040 is about 37817.2056080298. The cubic root of 1430141040 is about 1126.6602094950.

Adding to 1430141040 its reverse (401410341), we get a palindrome (1831551381).

The spelling of 1430141040 in words is "one billion, four hundred thirty million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 545 654 720 872 981 1090 1308 1635 1744 1962 2180 2616 3270 3924 4360 4905 5232 6540 7848 8720 9810 13080 15696 18223 19620 26160 36446 39240 54669 72892 78480 91115 109338 145784 164007 182230 218676 273345 291568 328014 364460 437352 546690 656028 728920 820035 874704 1093380 1312056 1457840 1640070 1986307 2186760 2624112 3280140 3972614 4373520 5958921 6560280 7945228 9931535 11917842 13120560 15890456 17876763 19863070 23835684 29794605 31780912 35753526 39726140 47671368 59589210 71507052 79452280 89383815 95342736 119178420 143014104 158904560 178767630 238356840 286028208 357535260 476713680 715070520 1430141040