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1424240000 = 275419937
BaseRepresentation
bin101010011100100…
…0010110110000000
310200020221212222122
41110321002312000
510404101140000
6353154223412
750202561131
oct12471026600
93606855878
101424240000
11670a45657
12338b84b68
131990b7a81
14d7221c88
1585082085
hex54e42d80

1424240000 has 160 divisors (see below), whose sum is σ = 3736147800. Its totient is φ = 539136000.

The previous prime is 1424239997. The next prime is 1424240011. The reversal of 1424240000 is 424241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1519532 + ... + 1520468.

Almost surely, 21424240000 is an apocalyptic number.

1424240000 is a gapful number since it is divisible by the number (10) 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 1424240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868073900).

1424240000 is an abundant number, since it is smaller than the sum of its proper divisors (2311907800).

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

1424240000 is an frugal number, since it uses more digits than its factorization.

1424240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1424240000 is about 37739.1043878892. The cubic root of 1424240000 is about 1125.1084669081.

Adding to 1424240000 its reverse (424241), we get a palindrome (1424664241).

The spelling of 1424240000 in words is "one billion, four hundred twenty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 625 640 760 800 937 950 1000 1216 1250 1520 1600 1874 1900 2000 2375 2432 2500 3040 3200 3748 3800 4000 4685 4750 5000 6080 7496 7600 8000 9370 9500 10000 11875 12160 14992 15200 16000 17803 18740 19000 20000 23425 23750 29984 30400 35606 37480 38000 40000 46850 47500 59968 60800 71212 74960 76000 80000 89015 93700 95000 117125 119936 142424 149920 152000 178030 187400 190000 234250 284848 299840 304000 356060 374800 380000 445075 468500 569696 585625 599680 712120 749600 760000 890150 937000 1139392 1171250 1424240 1499200 1520000 1780300 1874000 2225375 2278784 2342500 2848480 2998400 3560600 3748000 4450750 4685000 5696960 7121200 7496000 8901500 9370000 11126875 11393920 14242400 14992000 17803000 18740000 22253750 28484800 35606000 37480000 44507500 56969600 71212000 74960000 89015000 142424000 178030000 284848000 356060000 712120000 1424240000