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1340431400440 = 235113583850247
BaseRepresentation
bin10011100000010111111…
…011111111110111111000
311202010212222011101212201
4103200113323333313320
5133430200414303230
62503441412515544
7165562065624406
oct23402773776770
94663788141781
101340431400440
11477523642820
1219794b91bbb4
139952c663822
1448c3d172476
1524d037245ca
hex13817effdf8

1340431400440 has 64 divisors (see below), whose sum is σ = 3291071938560. Its totient is φ = 487292987520.

The previous prime is 1340431400437. The next prime is 1340431400491. The reversal of 1340431400440 is 440041340431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1340431400399 and 1340431400408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151397 + ... + 2001643.

It is an arithmetic number, because the mean of its divisors is an integer number (51422999040).

Almost surely, 21340431400440 is an apocalyptic number.

1340431400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340431400440 is an abundant number, since it is smaller than the sum of its proper divisors (1950640538120).

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

1340431400440 is a wasteful number, since it uses less digits than its factorization.

1340431400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853852 (or 853848 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1340431400440 its reverse (440041340431), we get a palindrome (1780472740871).

The spelling of 1340431400440 in words is "one trillion, three hundred forty billion, four hundred thirty-one million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3583 7166 14332 17915 28664 35830 39413 71660 78826 143320 157652 197065 315304 394130 788260 850247 1576520 1700494 3400988 4251235 6801976 8502470 9352717 17004940 18705434 34009880 37410868 46763585 74821736 93527170 187054340 374108680 3046435001 6092870002 12185740004 15232175005 24371480008 30464350010 33510785011 60928700020 67021570022 121857400040 134043140044 167553925055 268086280088 335107850110 670215700220 1340431400440