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2141024240000 = 275437723319
BaseRepresentation
bin11111001001111110111…
…111010100000110000000
321120200100122211111212002
4133021332333110012000
5240034304201140000
64315323431523132
7310453401523562
oct37117677240600
97520318744762
102141024240000
11756004404668
122a6b408294a8
13126b8939c829
14758aa139332
153aa5dabc8d5
hex1f27efd4180

2141024240000 has 160 divisors (see below), whose sum is σ = 5474006194800. Its totient is φ = 833262336000.

The previous prime is 2141024239973. The next prime is 2141024240009. The reversal of 2141024240000 is 424201412.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141024240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2598341 + ... + 3321659.

Almost surely, 22141024240000 is an apocalyptic number.

2141024240000 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 2141024240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737003097400).

2141024240000 is an abundant number, since it is smaller than the sum of its proper divisors (3332981954800).

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

2141024240000 is an frugal number, since it uses more digits than its factorization.

2141024240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723390 (or 723363 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2141024240000 its reverse (424201412), we get a palindrome (2141448441412).

The spelling of 2141024240000 in words is "two trillion, one hundred forty-one billion, twenty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 185 200 250 296 320 370 400 500 592 625 640 740 800 925 1000 1184 1250 1480 1600 1850 2000 2368 2500 2960 3200 3700 4000 4625 4736 5000 5920 7400 8000 9250 10000 11840 14800 16000 18500 20000 23125 23680 29600 37000 40000 46250 59200 74000 80000 92500 118400 148000 185000 296000 370000 592000 723319 740000 1446638 1480000 2893276 2960000 3616595 5786552 7233190 11573104 14466380 18082975 23146208 26762803 28932760 36165950 46292416 53525606 57865520 72331900 90414875 92584832 107051212 115731040 133814015 144663800 180829750 214102424 231462080 267628030 289327600 361659500 428204848 452074375 462924160 535256060 578655200 669070075 723319000 856409696 904148750 1070512120 1157310400 1338140150 1446638000 1712819392 1808297500 2141024240 2314620800 2676280300 2893276000 3345350375 3425638784 3616595000 4282048480 5352560600 5786552000 6690700750 7233190000 8564096960 10705121200 11573104000 13381401500 14466380000 16726751875 17128193920 21410242400 26762803000 28932760000 33453503750 42820484800 53525606000 57865520000 66907007500 85640969600 107051212000 133814015000 214102424000 267628030000 428204848000 535256060000 1070512120000 2141024240000