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141122240 = 26572512
BaseRepresentation
bin10000110100101…
…01101011000000
3100211112202022122
420122111223000
5242111402430
622000423412
73332343050
oct1032255300
9324482278
10141122240
1172729256
123b317b68
13233110ac
1414a57560
15c5c8ee5
hex8695ac0

141122240 has 84 divisors (see below), whose sum is σ = 385590288. Its totient is φ = 48192000.

The previous prime is 141122237. The next prime is 141122269. The reversal of 141122240 is 42221141.

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 11 ways as a sum of consecutive naturals, for example, 562115 + ... + 562365.

Almost surely, 2141122240 is an apocalyptic number.

141122240 is a gapful number since it is divisible by the number (10) 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 141122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192795144).

141122240 is an abundant number, since it is smaller than the sum of its proper divisors (244468048).

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

141122240 is an frugal number, since it uses more digits than its factorization.

141122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 141122240 is about 11879.4882044640. The cubic root of 141122240 is about 520.6331538061.

Adding to 141122240 its reverse (42221141), we get a palindrome (183343381).

The spelling of 141122240 in words is "one hundred forty-one million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 251 280 320 448 502 560 1004 1120 1255 1757 2008 2240 2510 3514 4016 5020 7028 8032 8785 10040 14056 16064 17570 20080 28112 35140 40160 56224 63001 70280 80320 112448 126002 140560 252004 281120 315005 441007 504008 562240 630010 882014 1008016 1260020 1764028 2016032 2205035 2520040 3528056 4032064 4410070 5040080 7056112 8820140 10080160 14112224 17640280 20160320 28224448 35280560 70561120 141122240