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141803686144 = 285315766569
BaseRepresentation
bin1000010000010000101…
…0001000100100000000
3111120000112122121222201
42010010022020210000
54310403220424034
6145051013042544
713150012305331
oct2040412104400
9446015577881
10141803686144
115515853624a
1223595926454
13104ab472ac3
146c12dc4288
153a4e257014
hex2104288900

141803686144 has 72 divisors (see below), whose sum is σ = 290235347640. Its totient is φ = 69119950848.

The previous prime is 141803686133. The next prime is 141803686169. The reversal of 141803686144 is 441686308141.

It can be written as a sum of positive squares in 4 ways, for example, as 1688223744 + 140115462400 = 41088^2 + 374320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141803686094 and 141803686103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2096892 + ... + 2163460.

It is an arithmetic number, because the mean of its divisors is an integer number (4031046495).

Almost surely, 2141803686144 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 141803686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117673820).

141803686144 is an abundant number, since it is smaller than the sum of its proper divisors (148431661496).

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

141803686144 is an equidigital number, since it uses as much as digits as its factorization.

141803686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66795 (or 66781 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 141803686144 in words is "one hundred forty-one billion, eight hundred three million, six hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 157 212 256 314 424 628 848 1256 1696 2512 3392 5024 6784 8321 10048 13568 16642 20096 33284 40192 66568 66569 133136 133138 266272 266276 532544 532552 1065088 1065104 2130176 2130208 3528157 4260416 7056314 8520832 10451333 14112628 17041664 20902666 28225256 41805332 56450512 83610664 112901024 167221328 225802048 334442656 451604096 553920649 668885312 903208192 1107841298 1337770624 2215682596 2675541248 4431365192 8862730384 17725460768 35450921536 70901843072 141803686144