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423120424000 = 2653192783687
BaseRepresentation
bin1100010100000111111…
…00010100110001000000
31111110010222201121020211
412022003330110301000
523413022312032000
6522213455043504
742366214155661
oct6120374246100
91443128647224
10423120424000
111534984a312a
126a006210594
1330b916423c1
141669ca7b368
15b0165947ba
hex6283f14c40

423120424000 has 112 divisors (see below), whose sum is σ = 1103008533120. Its totient is φ = 160340313600.

The previous prime is 423120423983. The next prime is 423120424007. The reversal of 423120424000 is 424021324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (423120424007) 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, 1239844 + ... + 1543843.

Almost surely, 2423120424000 is an apocalyptic number.

423120424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423120424000 is an abundant number, since it is smaller than the sum of its proper divisors (679888109120).

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

423120424000 is a wasteful number, since it uses less digits than its factorization.

423120424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783733 (or 2783713 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 423120424000 its reverse (424021324), we get a palindrome (423544445324).

The spelling of 423120424000 in words is "four hundred twenty-three billion, one hundred twenty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9500 15200 19000 30400 38000 76000 152000 2783687 5567374 11134748 13918435 22269496 27836870 44538992 52890053 55673740 69592175 89077984 105780106 111347480 139184350 178155968 211560212 222694960 264450265 278368700 347960875 423120424 445389920 528900530 556737400 695921750 846240848 890779840 1057801060 1113474800 1322251325 1391843500 1692481696 2115602120 2226949600 2644502650 2783687000 3384963392 4231204240 4453899200 5289005300 5567374000 6611256625 8462408480 10578010600 11134748000 13222513250 16924816960 21156021200 22269496000 26445026500 42312042400 52890053000 84624084800 105780106000 211560212000 423120424000