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141916968 = 2333659997
BaseRepresentation
bin10000111010101…
…11101100101000
3100220001010111000
420131113230220
5242312320333
622025435000
73342163044
oct1035275450
9326033430
10141916968
1173121356
123b63ba60
132352ba4b
1414bc3024
15c6d4713
hex8757b28

141916968 has 64 divisors (see below), whose sum is σ = 395208000. Its totient is φ = 47186496.

The previous prime is 141916963. The next prime is 141916979. The reversal of 141916968 is 869619141.

141916968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141916961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141846 + ... + 142842.

It is an arithmetic number, because the mean of its divisors is an integer number (6175125).

Almost surely, 2141916968 is an apocalyptic number.

141916968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141916968 is an abundant number, since it is smaller than the sum of its proper divisors (253291032).

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

141916968 is a wasteful number, since it uses less digits than its factorization.

141916968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 141916968 is about 11912.8908330430. The cubic root of 141916968 is about 521.6086378216.

It can be divided in two parts, 141916 and 968, that added together give a square (142884 = 3782).

The spelling of 141916968 in words is "one hundred forty-one million, nine hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 659 997 1318 1977 1994 2636 2991 3954 3988 5272 5931 5982 7908 7976 8973 11862 11964 15816 17793 17946 23724 23928 26919 35586 35892 47448 53838 71172 71784 107676 142344 215352 657023 1314046 1971069 2628092 3942138 5256184 5913207 7884276 11826414 15768552 17739621 23652828 35479242 47305656 70958484 141916968