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430213142140 = 225173750967187
BaseRepresentation
bin1100100001010101011…
…00111001011001111100
31112010110021221000102021
412100222230321121330
524022034031022030
6525345344405524
743040040241345
oct6205254713174
91463407830367
10430213142140
111564a8115261
126b4656168a4
1331751c0c542
1416b72a510cc
15b2ce0c597a
hex642ab3967c

430213142140 has 96 divisors (see below), whose sum is σ = 984390200640. Its totient is φ = 157273288704.

The previous prime is 430213142131. The next prime is 430213142159. The reversal of 430213142140 is 41241312034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6369627 + ... + 6436813.

It is an arithmetic number, because the mean of its divisors is an integer number (10254064590).

Almost surely, 2430213142140 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 430213142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492195100320).

430213142140 is an abundant number, since it is smaller than the sum of its proper divisors (554177058500).

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

430213142140 is a wasteful number, since it uses less digits than its factorization.

430213142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67759 (or 67757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 430213142140 its reverse (41241312034), we get a palindrome (471454454174).

The spelling of 430213142140 in words is "four hundred thirty billion, two hundred thirteen million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 509 629 740 1018 1258 2036 2516 2545 3145 5090 6290 8653 10180 12580 17306 18833 34612 37666 43265 67187 75332 86530 94165 134374 173060 188330 268748 320161 335935 376660 640322 671870 1142179 1280644 1343740 1600805 2284358 2485919 3201610 4568716 4971838 5710895 6403220 9943676 11421790 12429595 22843580 24859190 34198183 42260623 49718380 68396366 84521246 136792732 169042492 170990915 211303115 341981830 422606230 581369111 683963660 845212460 1162738222 1265332771 2325476444 2530665542 2906845555 5061331084 5813691110 6326663855 11627382220 12653327710 21510657107 25306655420 43021314214 86042628428 107553285535 215106571070 430213142140