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5214143000 = 235311835711
BaseRepresentation
bin1001101101100100…
…11000001000011000
3111110101022220112102
410312302120020120
541134310034000
62221221102532
7243132325043
oct46662301030
914411286472
105214143000
11223627a8a0
121016257a48
13651328421
143766c5c5a
15207b563d5
hex136c98218

5214143000 has 128 divisors (see below), whose sum is σ = 13473008640. Its totient is φ = 1872880000.

The previous prime is 5214142993. The next prime is 5214143003. The reversal of 5214143000 is 3414125.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214143003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910145 + ... + 915855.

It is an arithmetic number, because the mean of its divisors is an integer number (105257880).

Almost surely, 25214143000 is an apocalyptic number.

5214143000 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 5214143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

5214143000 is an abundant number, since it is smaller than the sum of its proper divisors (8258865640).

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

5214143000 is a wasteful number, since it uses less digits than its factorization.

5214143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5214143000 is about 72209.0229818961. The cubic root of 5214143000 is about 1734.0474580449.

Adding to 5214143000 its reverse (3414125), we get a palindrome (5217557125).

The spelling of 5214143000 in words is "five billion, two hundred fourteen million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 83 88 100 110 125 166 200 220 250 275 332 415 440 500 550 664 830 913 1000 1100 1375 1660 1826 2075 2200 2750 3320 3652 4150 4565 5500 5711 7304 8300 9130 10375 11000 11422 16600 18260 20750 22825 22844 28555 36520 41500 45650 45688 57110 62821 83000 91300 114125 114220 125642 142775 182600 228250 228440 251284 285550 314105 456500 474013 502568 571100 628210 713875 913000 948026 1142200 1256420 1427750 1570525 1896052 2370065 2512840 2855500 3141050 3792104 4740130 5214143 5711000 6282100 7852625 9480260 10428286 11850325 12564200 15705250 18960520 20856572 23700650 26070715 31410500 41713144 47401300 52141430 59251625 62821000 94802600 104282860 118503250 130353575 208565720 237006500 260707150 474013000 521414300 651767875 1042828600 1303535750 2607071500 5214143000