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4542430000 = 24543114653
BaseRepresentation
bin1000011101011111…
…11111101100110000
3102201120101100112011
410032233333230300
533300330230000
62030424012304
7220365006103
oct41657775460
912646340464
104542430000
111a210a0989
12a69301094
13575111404
143113d273a
151b8bc02ba
hex10ebffb30

4542430000 has 100 divisors (see below), whose sum is σ = 11353215808. Its totient is φ = 1758240000.

The previous prime is 4542429979. The next prime is 4542430003. The reversal of 4542430000 is 342454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (4542430003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 302674 + ... + 317326.

Almost surely, 24542430000 is an apocalyptic number.

4542430000 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 4542430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676607904).

4542430000 is an abundant number, since it is smaller than the sum of its proper divisors (6810785808).

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

4542430000 is a wasteful number, since it uses less digits than its factorization.

4542430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14712 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4542430000 is about 67397.5518843229. The cubic root of 4542430000 is about 1656.1363182920.

Adding to 4542430000 its reverse (342454), we get a palindrome (4542772454).

The spelling of 4542430000 in words is "four billion, five hundred forty-two million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 14653 15500 19375 29306 31000 38750 58612 62000 73265 77500 117224 146530 155000 234448 293060 310000 366325 454243 586120 732650 908486 1172240 1465300 1816972 1831625 2271215 2930600 3633944 3663250 4542430 5861200 7267888 7326500 9084860 9158125 11356075 14653000 18169720 18316250 22712150 29306000 36339440 36632500 45424300 56780375 73265000 90848600 113560750 146530000 181697200 227121500 283901875 454243000 567803750 908486000 1135607500 2271215000 4542430000