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146194581316 = 22723128812
BaseRepresentation
bin1000100000100111100…
…0000100011101000100
3111222100112220012210211
42020021320010131010
54343401303100231
6151054425125204
713363560303100
oct2101170043504
9458315805724
10146194581316
1157001036833
1224400329804
1310a2b068824
14710c20c900
153c09992eb1
hex2209e04744

146194581316 has 81 divisors (see below), whose sum is σ = 307869875901. Its totient is φ = 60564873600.

The previous prime is 146194581287. The next prime is 146194581343. The reversal of 146194581316 is 613185491641.

The square root of 146194581316 is 382354.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25646741316 + 120547840000 = 160146^2 + 347200^2 .

It is a super-3 number, since 3×1461945813163 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 146194581316.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 165941196 + ... + 165942076.

Almost surely, 2146194581316 is an apocalyptic number.

146194581316 is the 382354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146194581316

146194581316 is an abundant number, since it is smaller than the sum of its proper divisors (161675294585).

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

146194581316 is an frugal number, since it uses more digits than its factorization.

146194581316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 921 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

Multiplying 146194581316 by its sum of digits (49), we get a square (7163534484484 = 26764782).

146194581316 divided by its sum of digits (49) gives a square (2983562884 = 546222).

The spelling of 146194581316 in words is "one hundred forty-six billion, one hundred ninety-four million, five hundred eighty-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 881 961 1519 1762 1922 3038 3524 3844 6076 6167 6727 12334 13454 24668 26908 27311 43169 47089 54622 86338 94178 109244 172676 188356 191177 382354 764708 776161 846641 1338239 1552322 1693282 2676478 3104644 3386564 5352956 5433127 5926487 10866254 11852974 21732508 23705948 24060991 38031889 41485409 48121982 76063778 82970818 96243964 152127556 165941636 168426937 336853874 673707748 745890721 1178988559 1491781442 2357977118 2983562884 4715954236 5221235047 10442470094 20884940188 36548645329 73097290658 146194581316