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423881308480 = 26571187159421
BaseRepresentation
bin1100010101100010100…
…10110111100101000000
31111112010000110112112111
412022301102313211000
523421102103332410
6522421155305104
742424113450040
oct6126122674500
91445100415474
10423881308480
11153848a47983
126a198bab194
1330c8317b1c6
1416731b43720
15b05d291b8a
hex62b14b7940

423881308480 has 112 divisors (see below), whose sum is σ = 1154541776256. Its totient is φ = 145207388160.

The previous prime is 423881308471. The next prime is 423881308483. The reversal of 423881308480 is 84803188324.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423881308483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2579170 + ... + 2738590.

Almost surely, 2423881308480 is an apocalyptic number.

423881308480 is a gapful number since it is divisible by the number (40) 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 423881308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577270888128).

423881308480 is an abundant number, since it is smaller than the sum of its proper divisors (730660467776).

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

423881308480 is a wasteful number, since it uses less digits than its factorization.

423881308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160632 (or 160622 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 423881308480 in words is "four hundred twenty-three billion, eight hundred eighty-one million, three hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1187 2240 2374 4748 5935 8309 9496 11870 16618 18992 23740 33236 37984 41545 47480 66472 75968 83090 94960 132944 159421 166180 189920 265888 318842 332360 379840 531776 637684 664720 797105 1115947 1275368 1329440 1594210 2231894 2550736 2658880 3188420 4463788 5101472 5579735 6376840 8927576 10202944 11159470 12753680 17855152 22318940 25507360 35710304 44637880 51014720 71420608 89275760 178551520 189232727 357103040 378465454 756930908 946163635 1324629089 1513861816 1892327270 2649258178 3027723632 3784654540 5298516356 6055447264 6623145445 7569309080 10597032712 12110894528 13246290890 15138618160 21194065424 26492581780 30277236320 42388130848 52985163560 60554472640 84776261696 105970327120 211940654240 423881308480