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141677223168 = 28313178389113
BaseRepresentation
bin1000001111110010011…
…1101101110100000000
3111112200201200122101210
42003330213231310000
54310123332120133
6145030254330120
713143615345525
oct2037447556400
9445621618353
10141677223168
11550a310a798
122355b4b9940
131048b1c5240
146c002a514c
153a430c6763
hex20fc9edd00

141677223168 has 576 divisors, whose sum is σ = 443923441920. Its totient is φ = 39724253184.

The previous prime is 141677223161. The next prime is 141677223199. The reversal of 141677223168 is 861322776141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141677223161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1253780680 + ... + 1253780792.

It is an arithmetic number, because the mean of its divisors is an integer number (770700420).

Almost surely, 2141677223168 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 141677223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221961720960).

141677223168 is an abundant number, since it is smaller than the sum of its proper divisors (302246218752).

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

141677223168 is a wasteful number, since it uses less digits than its factorization.

141677223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 141677223168 in words is "one hundred forty-one billion, six hundred seventy-seven million, two hundred twenty-three thousand, one hundred sixty-eight".