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142321204214406 = 2327101487110920707
BaseRepresentation
bin100000010111000010111100…
…110100100011101010000110
3200122220202220102111010011200
4200113002330310203222012
5122123242311234330111
61222405243021043330
741656240054413540
oct4027027464435206
9618822812433150
10142321204214406
11413910a1522468
1213b669773b6546
136154aa7ab9aa9
1427205510b0690
15116c17b4b3256
hex8170bcd23a86

142321204214406 has 192 divisors, whose sum is σ = 356973290818560. Its totient is φ = 40139757100800.

The previous prime is 142321204214383. The next prime is 142321204214429. The reversal of 142321204214406 is 604412402123241.

142321204214406 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 1 + 204 + 2 + 1 + 440 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (142321204214383) and next prime (142321204214429).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6873085905 + ... + 6873106611.

It is an arithmetic number, because the mean of its divisors is an integer number (1859235889680).

Almost surely, 2142321204214406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142321204214406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178486645409280).

142321204214406 is an abundant number, since it is smaller than the sum of its proper divisors (214652086604154).

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

142321204214406 is a wasteful number, since it uses less digits than its factorization.

142321204214406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22419 (or 22416 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 142321204214406 its reverse (604412402123241), we get a palindrome (746733606337647).

The spelling of 142321204214406 in words is "one hundred forty-two trillion, three hundred twenty-one billion, two hundred four million, two hundred fourteen thousand, four hundred six".