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2000242315540 = 225741821424451
BaseRepresentation
bin11101000110110111101…
…110111001000100010100
321002012222022210202101201
4131012313232321010110
5230232444013044130
64130522034402244
7264340604103250
oct35066756710424
97065868722351
102000242315540
11701330706067
122837b1130384
13116811816151
146cb52b29260
153706e3e4bca
hex1d1b7bb9114

2000242315540 has 96 divisors (see below), whose sum is σ = 4923670364928. Its totient is φ = 668254080000.

The previous prime is 2000242315529. The next prime is 2000242315549. The reversal of 2000242315540 is 455132420002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2000242315499 and 2000242315508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000242315549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4500315 + ... + 4924765.

It is an arithmetic number, because the mean of its divisors is an integer number (51288232968).

Almost surely, 22000242315540 is an apocalyptic number.

2000242315540 is a gapful number since it is divisible by the number (20) 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 2000242315540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461835182464).

2000242315540 is an abundant number, since it is smaller than the sum of its proper divisors (2923428049388).

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

2000242315540 is a wasteful number, since it uses less digits than its factorization.

2000242315540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425329 (or 425327 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 2000242315540 its reverse (455132420002), we get a palindrome (2455374735542).

The spelling of 2000242315540 in words is "two trillion, two hundred forty-two million, three hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 821 1148 1435 1642 2870 3284 4105 5740 5747 8210 11494 16420 22988 28735 33661 57470 67322 114940 134644 168305 235627 336610 424451 471254 673220 848902 942508 1178135 1697804 2122255 2356270 2971157 4244510 4712540 5942314 8489020 11884628 14855785 17402491 29711570 34804982 59423140 69609964 87012455 121817437 174024910 243634874 348049820 348474271 487269748 609087185 696948542 1218174370 1393897084 1742371355 2436348740 2439319897 3484742710 4878639794 6969485420 9757279588 12196599485 14287445111 24393198970 28574890222 48786397940 57149780444 71437225555 100012115777 142874451110 200024231554 285748902220 400048463108 500060578885 1000121157770 2000242315540