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2143142430 = 23511131926293
BaseRepresentation
bin111111110111101…
…1100001000011110
312112100200220201120
41333233130020132
513342121024210
6552354551410
7104052260442
oct17757341036
95470626646
102143142430
119aa8256a0
124b9898566
13282014b20
141648ba822
15c823a270
hex7fbdc21e

2143142430 has 128 divisors (see below), whose sum is σ = 6361044480. Its totient is φ = 454325760.

The previous prime is 2143142423. The next prime is 2143142471. The reversal of 2143142430 is 342413412.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2143142430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68364 + ... + 94656.

It is an arithmetic number, because the mean of its divisors is an integer number (49695660).

Almost surely, 22143142430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180522240).

2143142430 is an abundant number, since it is smaller than the sum of its proper divisors (4217902050).

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

2143142430 is a wasteful number, since it uses less digits than its factorization.

2143142430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26346.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2143142430 is about 46294.0863394019. The cubic root of 2143142430 is about 1289.2892003877.

Adding to 2143142430 its reverse (342413412), we get a palindrome (2485555842).

The spelling of 2143142430 in words is "two billion, one hundred forty-three million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 570 627 715 741 858 1045 1235 1254 1430 1482 2090 2145 2470 2717 3135 3705 4290 5434 6270 7410 8151 13585 16302 26293 27170 40755 52586 78879 81510 131465 157758 262930 289223 341809 394395 499567 578446 683618 788790 867669 999134 1025427 1446115 1498701 1709045 1735338 2050854 2497835 2892230 2997402 3418090 3759899 4338345 4995670 5127135 5495237 6494371 7493505 7519798 8676690 10254270 10990474 11279697 12988742 14987010 16485711 18799495 19483113 22559394 27476185 32471855 32971422 37598990 38966226 54952370 56398485 64943710 71438081 82428555 97415565 112796970 142876162 164857110 194831130 214314243 357190405 428628486 714380810 1071571215 2143142430