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141671712 = 25371316217
BaseRepresentation
bin10000111000110…
…11110100100000
3100212120200001110
420130123310200
5242231443322
622020303320
73340122030
oct1034336440
9325520043
10141671712
1172a74066
123b541b40
1323474220
1414b5b8c0
15c686c0c
hex871bd20

141671712 has 96 divisors (see below), whose sum is σ = 457736832. Its totient is φ = 37361664.

The previous prime is 141671681. The next prime is 141671723. The reversal of 141671712 is 217176141.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 141671712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628 + ... + 16844.

It is an arithmetic number, because the mean of its divisors is an integer number (4768092).

Almost surely, 2141671712 is an apocalyptic number.

141671712 is a gapful number since it is divisible by the number (12) 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 141671712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228868416).

141671712 is an abundant number, since it is smaller than the sum of its proper divisors (316065120).

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

141671712 is a wasteful number, since it uses less digits than its factorization.

141671712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16250 (or 16242 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 141671712 is about 11902.5926587446. The cubic root of 141671712 is about 521.3079892238.

The spelling of 141671712 in words is "one hundred forty-one million, six hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 16217 32434 48651 64868 97302 113519 129736 194604 210821 227038 259472 340557 389208 421642 454076 518944 632463 681114 778416 843284 908152 1264926 1362228 1475747 1556832 1686568 1816304 2529852 2724456 2951494 3373136 3632608 4427241 5059704 5448912 5902988 6746272 8854482 10119408 10897824 11805976 17708964 20238816 23611952 35417928 47223904 70835856 141671712