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2440211053000 = 235371471723687
BaseRepresentation
bin100011100000100111111…
…010011011100111001000
322122021121111121100202011
4203200213322123213020
5304440023012144000
65105003435345304
7341204463500530
oct43404772334710
98567544540664
102440211053000
11860984583496
12334b198b2234
131491598ac1a6
148616d27c4c0
154371eb9c2ba
hex23827e9b9c8

2440211053000 has 128 divisors (see below), whose sum is σ = 6526540500480. Its totient is φ = 836551622400.

The previous prime is 2440211052971. The next prime is 2440211053039. The reversal of 2440211053000 is 3501120442.

2440211053000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103007157 + ... + 103030843.

It is an arithmetic number, because the mean of its divisors is an integer number (50988597660).

Almost surely, 22440211053000 is an apocalyptic number.

2440211053000 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 2440211053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263270250240).

2440211053000 is an abundant number, since it is smaller than the sum of its proper divisors (4086329447480).

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

2440211053000 is a wasteful number, since it uses less digits than its factorization.

2440211053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38432 (or 38418 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2440211053000 its reverse (3501120442), we get a palindrome (2443712173442).

The spelling of 2440211053000 in words is "two trillion, four hundred forty billion, two hundred eleven million, fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 14717 23687 29434 47374 58868 73585 94748 103019 117736 118435 147170 165809 189496 206038 236870 294340 331618 367925 412076 473740 515095 588680 592175 663236 735850 824152 829045 947480 1030190 1184350 1326472 1471700 1658090 1839625 2060380 2368700 2575475 2943400 2960875 3316180 3679250 4120760 4145225 4737400 5150950 5921750 6632360 7358500 8290450 10301900 11843500 12877375 14717000 16580900 20603800 20726125 23687000 25754750 33161800 41452250 51509500 82904500 103019000 165809000 348601579 697203158 1394406316 1743007895 2440211053 2788812632 3486015790 4880422106 6972031580 8715039475 9760844212 12201055265 13944063160 17430078950 19521688424 24402110530 34860157900 43575197375 48804221060 61005276325 69720315800 87150394750 97608442120 122010552650 174300789500 244021105300 305026381625 348601579000 488042210600 610052763250 1220105526500 2440211053000