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423042143120 = 24529343341681
BaseRepresentation
bin1100010011111110100…
…01101101001110010000
31111102221112102112001222
412021333101231032100
523412342242034440
6522202021144212
742364243612562
oct6117721551620
91442845375058
10423042143120
11153458296593
1269ba3b5b068
1330b7b36465c
1416692501332
15b00e7802b5
hex627f46d390

423042143120 has 80 divisors (see below), whose sum is σ = 989232903792. Its totient is φ = 168245821440.

The previous prime is 423042143089. The next prime is 423042143129. The reversal of 423042143120 is 21341240324.

It can be written as a sum of positive squares in 8 ways, for example, as 12561029776 + 410481113344 = 112076^2 + 640688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 423042143120.

It is not an unprimeable number, because it can be changed into a prime (423042143129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10128680 + ... + 10170360.

Almost surely, 2423042143120 is an apocalyptic number.

423042143120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423042143120 is an abundant number, since it is smaller than the sum of its proper divisors (566190760672).

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

423042143120 is a wasteful number, since it uses less digits than its factorization.

423042143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42420 (or 42414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 423042143120 its reverse (21341240324), we get a palindrome (444383383444).

The spelling of 423042143120 in words is "four hundred twenty-three billion, forty-two million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293 433 586 866 1172 1465 1732 2165 2344 2930 3464 4330 4688 5860 6928 8660 11720 17320 23440 34640 41681 83362 126869 166724 208405 253738 333448 416810 507476 634345 666896 833620 1014952 1268690 1667240 2029904 2537380 3334480 5074760 10149520 12212533 18047873 24425066 36095746 48850132 61062665 72191492 90239365 97700264 122125330 144382984 180478730 195400528 244250660 288765968 360957460 488501320 721914920 977002640 1443829840 5288026789 10576053578 21152107156 26440133945 42304214312 52880267890 84608428624 105760535780 211521071560 423042143120