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5012142000 = 243533126947
BaseRepresentation
bin1001010101011111…
…10011011110110000
3110221022020012020220
410222233303132300
540231102021000
62145203333040
7235130334615
oct45257633660
913838205226
105012142000
112142250518
12b7a681180
1361b5203c8
1435794250c
151e50541a0
hex12abf37b0

5012142000 has 160 divisors (see below), whose sum is σ = 16681027584. Its totient is φ = 1293408000.

The previous prime is 5012141983. The next prime is 5012142041. The reversal of 5012142000 is 2412105.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172527 + ... + 199473.

Almost surely, 25012142000 is an apocalyptic number.

5012142000 is a gapful number since it is divisible by the number (50) 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 5012142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340513792).

5012142000 is an abundant number, since it is smaller than the sum of its proper divisors (11668885584).

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

5012142000 is a wasteful number, since it uses less digits than its factorization.

5012142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27004 (or 26988 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5012142000 is about 70796.4829634919. The cubic root of 5012142000 is about 1711.3589962772.

Adding to 5012142000 its reverse (2412105), we get a palindrome (5014554105).

The spelling of 5012142000 in words is "five billion, twelve million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 26947 31000 37200 46500 53894 62000 80841 93000 107788 134735 161682 186000 215576 269470 323364 404205 431152 538940 646728 673675 808410 835357 1077880 1293456 1347350 1616820 1670714 2021025 2155760 2506071 2694700 3233640 3341428 3368375 4042050 4176785 5012142 5389400 6467280 6682856 6736750 8084100 8353570 10024284 10105125 10778800 12530355 13365712 13473500 16168200 16707140 20048568 20210250 20883925 25060710 26947000 32336400 33414280 40097136 40420500 41767850 50121420 53894000 62651775 66828560 80841000 83535700 100242840 104419625 125303550 161682000 167071400 200485680 208839250 250607100 313258875 334142800 417678500 501214200 626517750 835357000 1002428400 1253035500 1670714000 2506071000 5012142000