Search a number
-
+
5315142000 = 243537126551
BaseRepresentation
bin1001111001100111…
…01010000101110000
3111201102101012010010
410330303222011300
541341134021000
62235225534520
7245466650550
oct47463520560
914642335103
105315142000
112288293943
121044044440
1366922b84c
14385c97160
15211956d50
hex13ccea170

5315142000 has 160 divisors (see below), whose sum is σ = 19584175104. Its totient is φ = 1214880000.

The previous prime is 5315141989. The next prime is 5315142017. The reversal of 5315142000 is 2415135.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21276 + ... + 105275.

Almost surely, 25315142000 is an apocalyptic number.

5315142000 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 5315142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792087552).

5315142000 is an abundant number, since it is smaller than the sum of its proper divisors (14269033104).

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

5315142000 is a wasteful number, since it uses less digits than its factorization.

5315142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126584 (or 126568 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5315142000 is about 72905.0204032617. The cubic root of 5315142000 is about 1745.1722174947.

Adding to 5315142000 its reverse (2415135), we get a palindrome (5317557135).

The spelling of 5315142000 in words is "five billion, three hundred fifteen million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 126551 253102 379653 506204 632755 759306 885857 1012408 1265510 1518612 1771714 1898265 2024816 2531020 2657571 3037224 3163775 3543428 3796530 4429285 5062040 5315142 6074448 6327550 7086856 7593060 8858570 9491325 10124080 10630284 12655100 13287855 14173712 15186120 15818875 17717140 18982650 21260568 22146425 25310200 26575710 30372240 31637750 35434280 37965300 42521136 44292850 47456625 50620400 53151420 63275500 66439275 70868560 75930600 88585700 94913250 106302840 110732125 126551000 132878550 151861200 177171400 189826500 212605680 221464250 253102000 265757100 332196375 354342800 379653000 442928500 531514200 664392750 759306000 885857000 1063028400 1328785500 1771714000 2657571000 5315142000