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141664064144 = 241912716322511
BaseRepresentation
bin1000001111101111010…
…1100001001010010000
3111112122210221002121112
42003323311201022100
54310112000023034
6145025104312452
713143365451161
oct2037365411220
9445583832545
10141664064144
1155096742169
1223557012728
1310488568835
146bdc63b768
153a41d777ce
hex20fbd61290

141664064144 has 80 divisors (see below), whose sum is σ = 292994580480. Its totient is φ = 66164273280.

The previous prime is 141664064111. The next prime is 141664064153. The reversal of 141664064144 is 441460466141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6281849 + ... + 6304359.

It is an arithmetic number, because the mean of its divisors is an integer number (3662432256).

Almost surely, 2141664064144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141664064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146497290240).

141664064144 is an abundant number, since it is smaller than the sum of its proper divisors (151330516336).

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

141664064144 is a wasteful number, since it uses less digits than its factorization.

141664064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22828 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 141664064144 in words is "one hundred forty-one billion, six hundred sixty-four million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 127 152 163 254 304 326 508 652 1016 1304 2032 2413 2608 3097 4826 6194 9652 12388 19304 20701 22511 24776 38608 41402 45022 49552 82804 90044 165608 180088 331216 360176 393319 427709 786638 855418 1573276 1710836 2858897 3146552 3421672 3669293 5717794 6293104 6843344 7338586 11435588 14677172 22871176 29354344 45742352 54319043 58708688 69716567 108638086 139433134 217276172 278866268 434552344 466000211 557732536 869104688 932000422 1115465072 1864000844 3728001688 7456003376 8854004009 17708008018 35416016036 70832032072 141664064144