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141914808 = 23337471997
BaseRepresentation
bin10000111010101…
…11001010111000
3100220001000112000
420131113022320
5242312233213
622025421000
73342153540
oct1035271270
9326030460
10141914808
117311a772
123b63a760
132352aa79
1414bc2320
15c6d3c73
hex87572b8

141914808 has 128 divisors (see below), whose sum is σ = 460339200. Its totient is φ = 39664512.

The previous prime is 141914803. The next prime is 141914813. The reversal of 141914808 is 808419141.

141914808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141914803) and next prime (141914813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141914803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70066 + ... + 72062.

It is an arithmetic number, because the mean of its divisors is an integer number (3596400).

Almost surely, 2141914808 is an apocalyptic number.

141914808 is a gapful number since it is divisible by the number (18) 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 141914808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230169600).

141914808 is an abundant number, since it is smaller than the sum of its proper divisors (318424392).

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

141914808 is a wasteful number, since it uses less digits than its factorization.

141914808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 141914808 is about 11912.8001746021. The cubic root of 141914808 is about 521.6059914846.

The spelling of 141914808 in words is "one hundred forty-one million, nine hundred fourteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1974 1997 2538 2632 2961 3384 3948 3994 5076 5922 5991 7896 7988 8883 10152 11844 11982 13979 15976 17766 17973 23688 23964 27958 35532 35946 41937 47928 53919 55916 71064 71892 83874 93859 107838 111832 125811 143784 167748 187718 215676 251622 281577 335496 375436 377433 431352 503244 563154 657013 750872 754866 844731 1006488 1126308 1314026 1509732 1689462 1971039 2252616 2534193 2628052 3019464 3378924 3942078 5068386 5256104 5913117 6757848 7884156 10136772 11826234 15768312 17739351 20273544 23652468 35478702 47304936 70957404 141914808