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10400342340324 = 22331264071058731
BaseRepresentation
bin1001011101011000010010…
…1101011111001011100100
31100211021002201222022110110
42113112010231133023210
52330344400114342244
634041503514453020
72122254115161126
oct227260455371344
940737081868413
1010400342340324
11334a840129802
1211bb7a5734170
135a599569a4b1
1427d544967216
1513080b9109b9
hex97584b5f2e4

10400342340324 has 48 divisors (see below), whose sum is σ = 25051259211776. Its totient is φ = 3354818925600.

The previous prime is 10400342340301. The next prime is 10400342340341. The reversal of 10400342340324 is 42304324300401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10400342340291 and 10400342340300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9294039 + ... + 10352769.

Almost surely, 210400342340324 is an apocalyptic number.

It is an amenable number.

10400342340324 is an abundant number, since it is smaller than the sum of its proper divisors (14650916871452).

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

10400342340324 is a wasteful number, since it uses less digits than its factorization.

10400342340324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085176 (or 1085174 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10400342340324 its reverse (42304324300401), we get a palindrome (52704666640725).

The spelling of 10400342340324 in words is "ten trillion, four hundred billion, three hundred forty-two million, three hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 26407 52814 79221 105628 158442 316884 818617 1058731 1637234 2117462 2455851 3176193 3274468 4234924 4911702 6352386 9823404 12704772 32820661 65641322 98461983 131282644 196923966 393847932 27957909517 55915819034 83873728551 111831638068 167747457102 335494914204 866695195027 1733390390054 2600085585081 3466780780108 5200171170162 10400342340324