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1240140202400 = 255211140925023
BaseRepresentation
bin10010000010111110000…
…111011100000110100000
311101120000111120200000102
4102002332013130012200
5130304301342434100
62345413524241532
7155411554536131
oct22027607340640
94346014520012
101240140202400
11438a388a5290
121804205402a8
138cc38718768
144404758dc88
15223d3b68cd5
hex120be1dc1a0

1240140202400 has 72 divisors (see below), whose sum is σ = 3302718862464. Its totient is φ = 450960070400.

The previous prime is 1240140202381. The next prime is 1240140202403. The reversal of 1240140202400 is 42020410421.

It is a super-3 number, since 3×12401402024003 (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1240140202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70453712 + ... + 70471311.

It is an arithmetic number, because the mean of its divisors is an integer number (45871095312).

Almost surely, 21240140202400 is an apocalyptic number.

1240140202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1240140202400 is an abundant number, since it is smaller than the sum of its proper divisors (2062578660064).

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

1240140202400 is a wasteful number, since it uses less digits than its factorization.

1240140202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140925054 (or 140925041 counting only the distinct ones).

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

Adding to 1240140202400 its reverse (42020410421), we get a palindrome (1282160612821).

The spelling of 1240140202400 in words is "one trillion, two hundred forty billion, one hundred forty million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 140925023 281850046 563700092 704625115 1127400184 1409250230 1550175253 2254800368 2818500460 3100350506 3523125575 4509600736 5637000920 6200701012 7046251150 7750876265 11274001840 12401402024 14092502300 15501752530 22548003680 24802804048 28185004600 31003505060 38754381325 49605608096 56370009200 62007010120 77508762650 112740018400 124014020240 155017525300 248028040480 310035050600 620070101200 1240140202400