Search a number
-
+
141931608 = 23371324999
BaseRepresentation
bin10000111010110…
…11010001011000
3100220001212120020
420131123101120
5242313302413
622030030440
73342253530
oct1035332130
9326055506
10141931608
1173131355
123b648420
1323535600
1414bc84c0
15c6d8c23
hex875b458

141931608 has 96 divisors (see below), whose sum is σ = 439200000. Its totient is φ = 37425024.

The previous prime is 141931607. The next prime is 141931613. The reversal of 141931608 is 806139141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141931607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25893 + ... + 30891.

It is an arithmetic number, because the mean of its divisors is an integer number (4575000).

Almost surely, 2141931608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141931608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219600000).

141931608 is an abundant number, since it is smaller than the sum of its proper divisors (297268392).

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

141931608 is a wasteful number, since it uses less digits than its factorization.

141931608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 141931608 is about 11913.5052776251. The cubic root of 141931608 is about 521.6265733981.

The spelling of 141931608 in words is "one hundred forty-one million, nine hundred thirty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4732 4999 7098 9464 9998 14196 14997 19996 28392 29994 34993 39992 59988 64987 69986 104979 119976 129974 139972 194961 209958 259948 279944 389922 419916 454909 519896 779844 839832 844831 909818 1364727 1559688 1689662 1819636 2534493 2729454 3379324 3639272 5068986 5458908 5913817 6758648 10137972 10917816 11827634 17741451 20275944 23655268 35482902 47310536 70965804 141931608