Search a number
-
+
100671041344 = 2643891392957
BaseRepresentation
bin101110111000001110…
…1100010111101000000
3100121211221022202220211
41131300131202331000
53122133241310334
6114125253443504
710162502506156
oct1356035427500
9317757282824
10100671041344
11397701a6425
1217616640594
13965484cb23
144c3021b3d6
1529430dba64
hex1770762f40

100671041344 has 112 divisors (see below), whose sum is σ = 208269230400. Its totient is φ = 48246460416.

The previous prime is 100671041297. The next prime is 100671041381. The reversal of 100671041344 is 443140176001.

It is a congruent number.

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, 34043514 + ... + 34046470.

It is an arithmetic number, because the mean of its divisors is an integer number (1859546700).

Almost surely, 2100671041344 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 100671041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104134615200).

100671041344 is an abundant number, since it is smaller than the sum of its proper divisors (107598189056).

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

100671041344 is a wasteful number, since it uses less digits than its factorization.

100671041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 100671041344 in words is "one hundred billion, six hundred seventy-one million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 89 139 172 178 278 344 356 556 688 712 1112 1376 1424 2224 2752 2848 2957 3827 4448 5696 5914 5977 7654 8896 11828 11954 12371 15308 23656 23908 24742 30616 47312 47816 49484 61232 94624 95632 98968 122464 127151 189248 191264 197936 244928 254302 263173 382528 395872 411023 508604 526346 531953 791744 822046 1017208 1052692 1063906 1644092 2034416 2105384 2127812 3288184 4068832 4210768 4255624 6576368 8137664 8421536 8511248 11316439 13152736 16843072 17022496 17673989 22632878 26305472 34044992 35347978 36581047 45265756 70695956 73162094 90531512 141391912 146324188 181063024 282783824 292648376 362126048 565567648 585296752 724252096 1131135296 1170593504 1572985021 2341187008 3145970042 6291940084 12583880168 25167760336 50335520672 100671041344