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141322016 = 2511974139
BaseRepresentation
bin10000110110001…
…10011100100000
3100211220220100202
420123012130200
5242134301031
622005004332
73334134353
oct1033063440
9324826322
10141322016
1172855360
123b3b36a8
1323380cc4
1414aaa29a
15c6182cb
hex86c6720

141322016 has 48 divisors (see below), whose sum is σ = 306724320. Its totient is φ = 63559680.

The previous prime is 141322007. The next prime is 141322031. The reversal of 141322016 is 610223141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32075 + ... + 36213.

It is an arithmetic number, because the mean of its divisors is an integer number (6390090).

Almost surely, 2141322016 is an apocalyptic number.

141322016 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 141322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153362160).

141322016 is an abundant number, since it is smaller than the sum of its proper divisors (165402304).

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

141322016 is a wasteful number, since it uses less digits than its factorization.

141322016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 141322016 is about 11887.8936738179. The cubic root of 141322016 is about 520.8787115293.

Adding to 141322016 its reverse (610223141), we get a palindrome (751545157).

The spelling of 141322016 in words is "one hundred forty-one million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 176 194 352 388 776 1067 1552 2134 3104 4139 4268 8278 8536 16556 17072 33112 34144 45529 66224 91058 132448 182116 364232 401483 728464 802966 1456928 1605932 3211864 4416313 6423728 8832626 12847456 17665252 35330504 70661008 141322016