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42231846666240 = 219365721141
BaseRepresentation
bin10011001101000110111100…
…01110000000000000000000
312112112022210000011211000000
421212203132032000000000
521013411310221304430
6225453013104000000
711616102346513200
oct1146433616000000
9175468700154000
1042231846666240
1112502475508830
1248a0994000000
131a745a4c91cba
14a60064838400
154d3831e6ce60
hex2668de380000

42231846666240 has 3360 divisors, whose sum is σ = 197549667730800. Its totient is φ = 8561413324800.

The previous prime is 42231846666221. The next prime is 42231846666241. The reversal of 42231846666240 is 4266664813224.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42231846666241) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1030045040620 + ... + 1030045040660.

Almost surely, 242231846666240 is an apocalyptic number.

42231846666240 is a gapful number since it is divisible by the number (40) 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 42231846666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98774833865400).

42231846666240 is an abundant number, since it is smaller than the sum of its proper divisors (155317821064560).

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

42231846666240 is an frugal number, since it uses more digits than its factorization.

42231846666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 42231846666240 in words is "forty-two trillion, two hundred thirty-one billion, eight hundred forty-six million, six hundred sixty-six thousand, two hundred forty".