Search a number
-
+
2313420402000 = 243531871206077
BaseRepresentation
bin100001101010100010100…
…110011110110101010000
322012011100020121221022010
4201222202212132311100
5300400341110331000
64530434243542520
7326065466652021
oct41524246366520
98164306557263
102313420402000
11812130562804
1231443398aa40
1313a20189a646
147dd82112c48
154029d981d50
hex21aa299ed50

2313420402000 has 160 divisors (see below), whose sum is σ = 7462489941504. Its totient is φ = 616579392000.

The previous prime is 2313420401993. The next prime is 2313420402001. The reversal of 2313420402000 is 2040243132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313420402001) by changing a digit.

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, 11122962 + ... + 11329038.

Almost surely, 22313420402000 is an apocalyptic number.

2313420402000 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 2313420402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731244970752).

2313420402000 is an abundant number, since it is smaller than the sum of its proper divisors (5149069539504).

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

2313420402000 is a wasteful number, since it uses less digits than its factorization.

2313420402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207974 (or 207958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2313420402000 its reverse (2040243132), we get a palindrome (2315460645132).

The spelling of 2313420402000 in words is "two trillion, three hundred thirteen billion, four hundred twenty million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1871 2000 3000 3742 5613 6000 7484 9355 11226 14968 18710 22452 28065 29936 37420 44904 46775 56130 74840 89808 93550 112260 140325 149680 187100 206077 224520 233875 280650 374200 412154 449040 467750 561300 618231 701625 748400 824308 935500 1030385 1122600 1236462 1403250 1648616 1871000 2060770 2245200 2472924 2806500 3091155 3297232 3742000 4121540 4945848 5151925 5613000 6182310 8243080 9891696 10303850 11226000 12364620 15455775 16486160 20607700 24729240 25759625 30911550 41215400 49458480 51519250 61823100 77278875 82430800 103038500 123646200 154557750 206077000 247292400 309115500 385570067 412154000 618231000 771140134 1156710201 1236462000 1542280268 1927850335 2313420402 3084560536 3855700670 4626840804 5783551005 6169121072 7711401340 9253681608 9639251675 11567102010 15422802680 18507363216 19278503350 23134204020 28917755025 30845605360 38557006700 46268408040 48196258375 57835510050 77114013400 92536816080 96392516750 115671020100 144588775125 154228026800 192785033500 231342040200 289177550250 385570067000 462684080400 578355100500 771140134000 1156710201000 2313420402000