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68421143340 = 223351143267877
BaseRepresentation
bin111111101110001101…
…111100101100101100
320112121101110012201000
4333232031330230230
52110111303041330
651233210320300
74641353060004
oct775615745454
9215541405630
1068421143340
1127020a51760
1211316129090
1365b5305544
143451067004
151ba6bdb560
hexfee37cb2c

68421143340 has 192 divisors, whose sum is σ = 237618501120. Its totient is φ = 16201140480.

The previous prime is 68421143321. The next prime is 68421143347. The reversal of 68421143340 is 4334112486.

68421143340 is a `hidden beast` number, since 6 + 8 + 4 + 211 + 433 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68421143295 and 68421143304.

It is not an unprimeable number, because it can be changed into a prime (68421143347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 121482 + ... + 389358.

It is an arithmetic number, because the mean of its divisors is an integer number (1237596360).

Almost surely, 268421143340 is an apocalyptic number.

68421143340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68421143340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118809250560).

68421143340 is an abundant number, since it is smaller than the sum of its proper divisors (169197357780).

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

68421143340 is a wasteful number, since it uses less digits than its factorization.

68421143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267949 (or 267941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 68421143340 in words is "sixty-eight billion, four hundred twenty-one million, one hundred forty-three thousand, three hundred forty".