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10344221140440 = 2335117836531167
BaseRepresentation
bin1001011010000111001110…
…1000000110010111011000
31100121220020120000222011210
42112201303220012113120
52323434431102443230
634000023010423120
72115226304640435
oct226416350062730
940556216028153
1010344221140440
113328a61184680
1211b0942891aa0
135a05c0707905
1427a93d2b8b8c
1512e124991eb0
hex96873a065d8

10344221140440 has 64 divisors (see below), whose sum is σ = 33853814645760. Its totient is φ = 2507689973120.

The previous prime is 10344221140423. The next prime is 10344221140481. The reversal of 10344221140440 is 4404112244301.

It is a happy number.

It is a super-2 number, since 2×103442211404402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10344221140398 and 10344221140407.

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, 3918264264 + ... + 3918266903.

It is an arithmetic number, because the mean of its divisors is an integer number (528965853840).

Almost surely, 210344221140440 is an apocalyptic number.

10344221140440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344221140440 is an abundant number, since it is smaller than the sum of its proper divisors (23509593505320).

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

10344221140440 is a wasteful number, since it uses less digits than its factorization.

10344221140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836531192 (or 7836531188 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10344221140440 its reverse (4404112244301), we get a palindrome (14748333384741).

The spelling of 10344221140440 in words is "ten trillion, three hundred forty-four billion, two hundred twenty-one million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7836531167 15673062334 23509593501 31346124668 39182655835 47019187002 62692249336 78365311670 86201842837 94038374004 117547967505 156730623340 172403685674 188076748008 235095935010 258605528511 313461246680 344807371348 431009214185 470191870020 517211057022 689614742696 862018428370 940383740040 1034422114044 1293027642555 1724036856740 2068844228088 2586055285110 3448073713480 5172110570220 10344221140440