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141413442240 = 2635721043667
BaseRepresentation
bin1000001110110011100…
…1011110001011000000
3111112000100100011222210
42003230321132023000
54304103320122430
6144544152502120
713134233266110
oct2035471361300
9445010304883
10141413442240
1154a78224224
12234a70aa940
1310448669055
146bb723d040
153a29d6e2b0
hex20ece5e2c0

141413442240 has 112 divisors (see below), whose sum is σ = 513128800512. Its totient is φ = 32323070976.

The previous prime is 141413442173. The next prime is 141413442241. The reversal of 141413442240 is 42244314141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141413442198 and 141413442207.

It is not an unprimeable number, because it can be changed into a prime (141413442241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10515114 + ... + 10528553.

Almost surely, 2141413442240 is an apocalyptic number.

141413442240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141413442240 is an abundant number, since it is smaller than the sum of its proper divisors (371715358272).

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

141413442240 is a wasteful number, since it uses less digits than its factorization.

141413442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21043694 (or 21043684 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 141413442240 its reverse (42244314141), we get a palindrome (183657756381).

The spelling of 141413442240 in words is "one hundred forty-one billion, four hundred thirteen million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 21043667 42087334 63131001 84174668 105218335 126262002 147305669 168349336 210436670 252524004 294611338 315655005 336698672 420873340 441917007 505048008 589222676 631310010 673397344 736528345 841746680 883834014 1010096016 1178445352 1262620020 1346794688 1473056690 1683493360 1767668028 2020192032 2209585035 2356890704 2525240040 2946113380 3366986720 3535336056 4040384064 4419170070 4713781408 5050480080 5892226760 6733973440 7070672112 8838340140 9427562816 10100960160 11784453520 14141344224 17676680280 20201920320 23568907040 28282688448 35353360560 47137814080 70706721120 141413442240