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2240141224300 = 2252719359469169
BaseRepresentation
bin100000100110010010110…
…100100110100101101100
321221011012021221000021121
4200212102310212211230
5243200302123134200
64433035012510324
7320562534142360
oct40462264464554
97834167830247
102240141224300
11794047358a21
123021a291b3a4
13133323c81475
147a5cdbc12a0
153d410532e1a
hex20992d2696c

2240141224300 has 144 divisors (see below), whose sum is σ = 5864249664000. Its totient is φ = 725596462080.

The previous prime is 2240141224267. The next prime is 2240141224303. The reversal of 2240141224300 is 34221410422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2240141224303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4540116 + ... + 5009284.

It is an arithmetic number, because the mean of its divisors is an integer number (40723956000).

Almost surely, 22240141224300 is an apocalyptic number.

2240141224300 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 2240141224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932124832000).

2240141224300 is an abundant number, since it is smaller than the sum of its proper divisors (3624108439700).

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

2240141224300 is a wasteful number, since it uses less digits than its factorization.

2240141224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469568 (or 469561 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2240141224300 its reverse (34221410422), we get a palindrome (2274362634722).

The spelling of 2240141224300 in words is "two trillion, two hundred forty billion, one hundred forty-one million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 359 380 475 532 665 700 718 950 1330 1436 1795 1900 2513 2660 3325 3590 5026 6650 6821 7180 8975 10052 12565 13300 13642 17950 25130 27284 34105 35900 47747 50260 62825 68210 95494 125650 136420 170525 190988 238735 251300 341050 469169 477470 682100 938338 954940 1193675 1876676 2345845 2387350 3284183 4691690 4774700 6568366 8914211 9383380 11729225 13136732 16420915 17828422 23458450 32841830 35656844 44571055 46916900 62399477 65683660 82104575 89142110 124798954 164209150 168431671 178284220 222855275 249597908 311997385 328418300 336863342 445710550 623994770 673726684 842158355 891421100 1179021697 1247989540 1559986925 1684316710 2358043394 3119973850 3200201749 3368633420 4210791775 4716086788 5895108485 6239947700 6400403498 8421583550 11790216970 12800806996 16001008745 16843167100 22401412243 23580433940 29475542425 32002017490 44802824486 58951084850 64004034980 80005043725 89605648972 112007061215 117902169700 160010087450 224014122430 320020174900 448028244860 560035306075 1120070612150 2240141224300