Search a number
-
+
2141202345000 = 23354311458993
BaseRepresentation
bin11111001010001001100…
…110101110110000101000
321120200211001222011222120
4133022021212232300220
5240040140300020000
64315353233151240
7310460663430255
oct37121146566050
97520731864876
102141202345000
117560959a2584
122a6b903bb520
13126bb725bcc4
14758c5a5c42c
153aa6e54e6a0
hex1f2899aec28

2141202345000 has 160 divisors (see below), whose sum is σ = 6710639158080. Its totient is φ = 569150080000.

The previous prime is 2141202344987. The next prime is 2141202345019. The reversal of 2141202345000 is 5432021412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4435504 + ... + 4894496.

It is an arithmetic number, because the mean of its divisors is an integer number (41941494738).

Almost surely, 22141202345000 is an apocalyptic number.

2141202345000 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 2141202345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355319579040).

2141202345000 is an abundant number, since it is smaller than the sum of its proper divisors (4569436813080).

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

2141202345000 is a wasteful number, since it uses less digits than its factorization.

2141202345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459333 (or 459314 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2141202345000 its reverse (5432021412), we get a palindrome (2146634366412).

The spelling of 2141202345000 in words is "two trillion, one hundred forty-one billion, two hundred two million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 311 375 500 600 622 625 750 933 1000 1244 1250 1500 1555 1866 1875 2488 2500 3000 3110 3732 3750 4665 5000 6220 7464 7500 7775 9330 12440 15000 15550 18660 23325 31100 37320 38875 46650 62200 77750 93300 116625 155500 186600 194375 233250 311000 388750 458993 466500 583125 777500 917986 933000 1166250 1376979 1555000 1835972 2294965 2332500 2753958 3671944 4589930 4665000 5507916 6884895 9179860 11015832 11474825 13769790 18359720 22949650 27539580 34424475 45899300 55079160 57374125 68848950 91798600 114748250 137697900 142746823 172122375 229496500 275395800 285493646 286870625 344244750 428240469 458993000 570987292 573741250 688489500 713734115 856480938 860611875 1141974584 1147482500 1376979000 1427468230 1712961876 1721223750 2141202345 2294965000 2854936460 3425923752 3442447500 3568670575 4282404690 5709872920 6884895000 7137341150 8564809380 10706011725 14274682300 17129618760 17843352875 21412023450 28549364600 35686705750 42824046900 53530058625 71373411500 85648093800 89216764375 107060117250 142746823000 178433528750 214120234500 267650293125 356867057500 428240469000 535300586250 713734115000 1070601172500 2141202345000