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141144256 = 26111571277
BaseRepresentation
bin10000110100110…
…11000011000000
3100211120212112001
420122123003000
5242113104011
622001113344
73332464201
oct1032330300
9324525461
10141144256
1172743850
123b328854
132331b116
1414a615a8
15c5d07c1
hex869b0c0

141144256 has 56 divisors (see below), whose sum is σ = 307732176. Its totient is φ = 63697920.

The previous prime is 141144197. The next prime is 141144257. The reversal of 141144256 is 652441141.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141144257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109890 + ... + 111166.

Almost surely, 2141144256 is an apocalyptic number.

141144256 is a gapful number since it is divisible by the number (16) 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 141144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153866088).

141144256 is an abundant number, since it is smaller than the sum of its proper divisors (166587920).

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

141144256 is a wasteful number, since it uses less digits than its factorization.

141144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 141144256 is about 11880.4148075730. The cubic root of 141144256 is about 520.6602264667.

Adding to 141144256 its reverse (652441141), we get a palindrome (793585397).

The spelling of 141144256 in words is "one hundred forty-one million, one hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 157 176 314 352 628 704 1256 1277 1727 2512 2554 3454 5024 5108 6908 10048 10216 13816 14047 20432 27632 28094 40864 55264 56188 81728 110528 112376 200489 224752 400978 449504 801956 899008 1603912 2205379 3207824 4410758 6415648 8821516 12831296 17643032 35286064 70572128 141144256