Search a number
-
+
2040502351000 = 23537364143607
BaseRepresentation
bin11101101100010111011…
…010101111010010011000
321020001220010011110111011
4131230113122233102120
5231412422100213000
64201221022543304
7300264356544031
oct35542732572230
97201803143434
102040502351000
11717410421643
1228b568137b34
1311a559712b39
1470a91a65a88
1538128b442ba
hex1db176af498

2040502351000 has 128 divisors (see below), whose sum is σ = 4847845541760. Its totient is φ = 803745792000.

The previous prime is 2040502350907. The next prime is 2040502351061. The reversal of 2040502351000 is 1532050402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46771197 + ... + 46814803.

It is an arithmetic number, because the mean of its divisors is an integer number (37873793295).

Almost surely, 22040502351000 is an apocalyptic number.

2040502351000 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 2040502351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423922770880).

2040502351000 is an abundant number, since it is smaller than the sum of its proper divisors (2807343190760).

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

2040502351000 is a wasteful number, since it uses less digits than its factorization.

2040502351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44342 (or 44328 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 2040502351000 in words is "two trillion, forty billion, five hundred two million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 641 730 1000 1282 1460 1825 2564 2920 3205 3650 5128 6410 7300 9125 12820 14600 16025 18250 25640 32050 36500 43607 46793 64100 73000 80125 87214 93586 128200 160250 174428 187172 218035 233965 320500 348856 374344 436070 467930 641000 872140 935860 1090175 1169825 1744280 1871720 2180350 2339650 3183311 4360700 4679300 5450875 5849125 6366622 8721400 9358600 10901750 11698250 12733244 15916555 21803500 23396500 25466488 27952087 31833110 43607000 46793000 55904174 63666220 79582775 111808348 127332440 139760435 159165550 223616696 279520870 318331100 397913875 559041740 636662200 698802175 795827750 1118083480 1397604350 1591655500 2040502351 2795208700 3183311000 3494010875 4081004702 5590417400 6988021750 8162009404 10202511755 13976043500 16324018808 20405023510 27952087000 40810047020 51012558775 81620094040 102025117550 204050235100 255062793875 408100470200 510125587750 1020251175500 2040502351000