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240103343440 = 2453837836271
BaseRepresentation
bin1101111110011101000…
…1100100010101010000
3211221202012210121112201
43133213101210111100
512413212423442230
6302145115532544
723226661513432
oct3374721442520
9757665717481
10240103343440
1192911094744
123a64a15a154
1319845915cac
14b89a2b0652
1563a40715ca
hex37e7464550

240103343440 has 40 divisors (see below), whose sum is σ = 559697891328. Its totient is φ = 95790564480.

The previous prime is 240103343399. The next prime is 240103343443. The reversal of 240103343440 is 44343301042.

240103343440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 240103343399 and 240103343408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240103343443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3887496 + ... + 3948775.

Almost surely, 2240103343440 is an apocalyptic number.

240103343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240103343440 is an abundant number, since it is smaller than the sum of its proper divisors (319594547888).

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

240103343440 is a wasteful number, since it uses less digits than its factorization.

240103343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836667 (or 7836661 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 240103343440 its reverse (44343301042), we get a palindrome (284446644482).

The spelling of 240103343440 in words is "two hundred forty billion, one hundred three million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 383 766 1532 1915 3064 3830 6128 7660 15320 30640 7836271 15672542 31345084 39181355 62690168 78362710 125380336 156725420 313450840 626901680 3001291793 6002583586 12005167172 15006458965 24010334344 30012917930 48020668688 60025835860 120051671720 240103343440